I haven't tested any display with Edison; however some users have discussed the use of a 2.8'' touch screen in the following threads. You might find them interesting:
- Support for the Adafruit 2.8" TFT display for Arduino Edison
- Looking for Edison compatible TFT display
On the other hand, I believe the SPI interface is more appropriate than the I2C. Actually, the displays I've seen before use SPI.
I hope you find this information helpful.