" I see examples on AliExpress, e.g. Free shipping! 3.5 inch TFT LCD screen module Ultra HD 320X480 for Arduino + MEGA 2560 R3 Board with usb cable." This looks interesting. I think there are libraries for ILI9486 chip. And I might find a use for an extra Mega2560.
What about Due, anything for 3.3V. Besides I like Ebay.