The RPi3 is definitely a great device with so many posibilities for ham use. I have wsjt-x and flgigi installed. Have also used xastir to APRS beacon through the International Space Station. But right now it is using Direwolf modem software, and it is running as a APRS fill-in digi and igate.
The only problem with the RPi3, Is that it is very addictive. Once you play with one, You need another so that you can try something different. I am hooked on Allstar Nodes at the moment. Linux Rocks.
Yep, see that link from the other comment. VNC is easy, just enable it on the Pi and install the client on the PC. I would suggest using a monitor, keyboard and mouse in the beginning. It'll probably be better and then give VNC a shot so you can see how you like it.
Yeah the possibilities are endless! Thanks for the comment and I'll have to look at those you mention. Exciting stuff!