Moved here as not about Linux Mint (there is no ARM version of Linux Mint).
You can run KDE's Plasma Active on various tablets: http://community.kde.org/Plasma/Active/Devices
. There's a newly available and free handbook for Plasma Active: http://pactivehandbook.sourceforge.net/
. You can watch a demo video of Plasma Active on its homepage: http://www.plasma-active.org/
Another option is http://www.pengpod.com/
, who have a Indie Gogo campaign going: http://www.indiegogo.com/projects/pengp ... ng-tablets
. But they already have models you can buy now also. Pengpod duel-boots™ Linux and Android, but it comes preloaded with Linux so you know it will work.
There are also various ways to put Ubuntu on a tablet. Here's one link I managed to find: https://wiki.ubuntu.com/Touch/Install
I'd investigate some more which Linux distro and DE you intend to put on a tablet before investing. As for most tablets using an OS other than Android will be an aftermarket install (I only know of the Pengpod that ships with Linux), so it is probably not going to give a well integrated experience on all tablets and expect to do a lot of work in the terminal. At least, those are my expectations