I am working on a Tiny machine right now ( 1.7MHz P4 processor. I have had the machine for over 3 years and have added and pulled various hardware, reinstalled several times from backup cds provided and have had no trouble with it at all.
Does not help you but shows that not all their PCs are problematic.
What I would suggest is that you contact your local trading standards and ask their advice seeing as it is relatively new and should still be within the warranty. Notwithstanding the warranty, you might still have some redress under the 1979 Sale of goods Act - TS will tell you.
It might help if you have logged details of all the problems, what you did, how Tiny responded etc.