Thank you zmeg, that was the trick!
I didn'n noticed at first that there is my map's folder in the game's cache folder! After deleting it's contents the textures were showing in the game!
If you other fellas don't know this, here's the paths:
Delete before building your map with TE:
"HTC/ah2editor/cache/stdshape" folder's contents
Delete before going to game:
"HTC/Aces High II/cache/yourmap" folder's contents
