Not sure anyone mentioned this, but just in case:
There is another way to look around the virtual sky, without using an 8-way hatswitch. Maybe you can keep your current joystick. This other way requires a numeric keypad which is capable of sending at least 2 of the keys at the same time (to your PC).
You map the views to the keypad such that straight ahead is 8, combined right-ahead is 9, right is 6, combined right-back is 3, straight back is 2, combined left-back is 1, left is 4, and combined left-ahead is 7. Straight up is mapped to 5. You control the numeric keypad for your views using your left hand, while you fly with your stick using your right hand. To look around in the spacial plane of the wings, you use the single keys 8, 9, 6, 3, 2, 1, 4, and 7. To look straight up you use 5. To look in between the plane of the wings and straight up you hold down 5 at the same time as 8, or 9, or 6, or etc. This is the traditional method introduced by the on-line game Air Warrior, back in the late 80s.
The advantage of this method, if you have a numeric keypad, is that your hat switch and buttons on the joystick can be used for other things. In my case, I map the "move" view keys to the hat switch, so I can look around canopy frames, etc.