Lee, I also have a VAIO Laptop - shows the same difficulties with textures. 
Heres my dxdiag:
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System Information
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Time of this report: 1/13/2007, 14:01:26
       Machine name: CARRY
   Operating System: Windows XP Home Edition (5.1, Build 2600) Service Pack 1 (2600.xpsp2.030422-1633)
           Language: German (Regional Setting: German)
System Manufacturer: Sony Corporation
       System Model: PCG-FR415M(DE)
               BIOS: PhoenixBIOS 4.0 Release 6.0     
          Processor: Intel(R) Pentium(R) 4 CPU 2.80GHz, ~2.8GHz
             Memory: 446MB RAM
          Page File: 128MB used, 929MB available
        Windows Dir: C:\WINDOWS
    DirectX Version: DirectX 9.0c (4.09.0000.0904)
DX Setup Parameters: Not found
     DxDiag Version: 5.03.0001.0904 32bit Unicode
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DxDiag Notes
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  DirectX Files Tab: No problems found.
      Display Tab 1: No problems found.
        Sound Tab 1: No problems found.
          Music Tab: No problems found.
          Input Tab: No problems found.
        Network Tab: The registry information for the DirectPlay application 'Stronghold' is missing or damaged.  You should reinstall that application.
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DirectX Debug Levels
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Direct3D:    0/4 (n/a)
DirectDraw:  0/4 (retail)
DirectInput: 0/5 (n/a)
DirectMusic: 0/5 (n/a)
DirectPlay:  0/9 (retail)
DirectSound: 0/5 (retail)
DirectShow:  0/6 (retail)
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Display Devices
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        Card name: RADEON IGP 345M
     Manufacturer: ATI Technologies Inc.
        Chip type: RS200M AGP (0x4337)
         DAC type: Internal DAC(350MHz)
       Device Key: Enum\PCI\VEN_1002&DEV_4337&SUBSYS_8158104D&REV_00
   Display Memory: 64.0 MB
     Current Mode: 1024 x 768 (32 bit) (60Hz)
          Monitor: Sony Notebook LCD (1024x768)
  Monitor Max Res: 1024,768
      Driver Name: ati2dvag.dll
   Driver Version: 6.14.0010.6392 (English)
      DDI Version: 9 (or higher)
Driver Attributes: Final Retail
 Driver Date/Size: 9/2/2003 20:47:00, 369664 bytes
      WHQL Logo'd: Yes
  WHQL Date Stamp: n/a
              VDD: Nicht zutreffend
         Mini VDD: ati2mtag.sys
    Mini VDD Date: 9/2/2003 20:47:00, 596480 bytes
Device Identifier: {D7B71EE2-0077-11CF-056B-52A1A1C2CB35}
        Vendor ID: 0x1002
        Device ID: 0x4337
        SubSys ID: 0x8158104D
      Revision ID: 0x0000
      Revision ID: 0x0000
      Video Accel: ModeMPEG2_D ModeMPEG2_C 
 Deinterlace Caps: {335AA36E-7884-43A4-9C91-7F87FAF3E37E}: Format(In/Out)=(YUY2,YUY2) Frames(Prev/Fwd/Back)=(0,0,0) Caps=DeinterlaceTech_BOBVerticalStretch 
                   {335AA36E-7884-43A4-9C91-7F87FAF3E37E}: Format(In/Out)=(UYVY,UYVY) Frames(Prev/Fwd/Back)=(0,0,0) Caps=DeinterlaceTech_BOBVerticalStretch 
                   {335AA36E-7884-43A4-9C91-7F87FAF3E37E}: Format(In/Out)=(YV12,0x32315659) Frames(Prev/Fwd/Back)=(0,0,0) Caps=DeinterlaceTech_BOBVerticalStretch 
                   {335AA36E-7884-43A4-9C91-7F87FAF3E37E}: Format(In/Out)=(NV12,0x3231564e) Frames(Prev/Fwd/Back)=(0,0,0) Caps=DeinterlaceTech_BOBVerticalStretch 
         Registry: OK
     DDraw Status: Enabled
       D3D Status: Enabled
       AGP Status: Enabled
DDraw Test Result: Not run
 D3D7 Test Result: Not run
 D3D8 Test Result: Not run
 D3D9 Test Result: Not run
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Sound Devices
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            Description: SoundMAX Digital Audio
 Default Sound Playback: Yes
 Default Voice Playback: Yes
            Hardware ID: PCI\VEN_10B9&DEV_5451&SUBSYS_8158104D&REV_02
        Manufacturer ID: 1
             Product ID: 100
                   Type: WDM
            Driver Name: smwdm.sys
         Driver Version: 5.12.0001.3620 (English)
      Driver Attributes: Final Retail
            WHQL Logo'd: Yes
          Date and Size: 5/27/2003 16:05:42, 578304 bytes
            Other Files: 
        Driver Provider: Analog Devices
         HW Accel Level: Full
              Cap Flags: 0xB5B
    Min/Max Sample Rate: 8000, 48000
Static/Strm HW Mix Bufs: 1, 0
 Static/Strm HW 3D Bufs: 0, 0
              HW Memory: 0
       Voice Management: No
 EAX(tm) 2.0 Listen/Src: No, No
   I3DL2(tm) Listen/Src: No, No
Sensaura(tm) ZoomFX(tm): No
               Registry: OK
      Sound Test Result: Not run
 This Laptop does NOT run AH2 on a playable level. I started out playing with it two years ago, version 2.06 or something. That still ran, but with a horrid frame rate.
I tried to get version 2.08 to run a while back, updating all drivers and cleaning out the house for full performance. But even at lowest graphics/Vid settings, id get 15 FPS in tower OFFLINE. Coming closer to one of the offline drones, let alone trying to shoot it would reduce FPS to a slide show (0-2). I was able to log on and chat, but flying was virtually impossible.
Without your dxdiag, we cant really tell - you might be able to gain a little performance by updating drivers.... but I wouldnt hold my breath. Integrated Graphics chips just dont work well for AH - you need a Graphics card.
For Skuzzy: Textures (especially terrain textures) blink in and out as well.