You might look for a super cheap old Nook HD or similar trash can ready ARM tablet to run a VNC client on. I would load with an alternate ROM so you dont have to deal with an online account or bloatware, reason is touchscreen area and the OS behind the VNC client app is not so important. Another idea for a stick computer is grab a Rasberry-pi sized ARM computer or cheap TV settop box and load with Debian, there are even small AMD64 mobile chipset(intel cherry trail)boxes, I have used them to make cheap Ubuntu game computers for kids running 10-20 year old win/WINE games and Nintendo64 emulators.