Mrs Woodchopper is wanting a new kitchen - therefore the 6" tiles must come off the wall above the work tops which will then be painted. Now assuming the tiles will leave adhesive on the wall which is the best sander to achieve a smooth finish ? Belt Sander - Orbital or other.
I'm hoping that removing the tiles wont remove great chunks of plaster with them.
Tiles were put on by me years ago using small tubs of Pollyfilla type adhesive and not the polymer/sticky glue type.
I think your best bet would be to get as much of the adhesive off as possible then skim the wall. The chances of getting all the adhesive off is pretty slim and if any is left even if you can't see it the paint may not cover properly and may crack or bubble.