I will give you the same advice I gave In another post Today.
First of all, I recommend using this shield that is compatible with the DUE.
It is compatible with both Standard 40 pin And 32 pin Displays. Make sure you check the pin out before you purchase.
It eliminates most of the compatibility problems that arise along with all the jumper wires that would be needed.
There is also a list of compatible boards that is in that Size and price range In the listing. Most of these boards are UTFT Library compatible.
Check with "http://henningkarlsen.com/electronics/library.php?id=66
" For compatibility list.
The link listed above has a touchscreen Library that may work with your display. Check the compatibility page.
Hope this helps.