At least you are considering the right triumph. Spitfire looks like a steaming pile of crap, tr-anything-after-6 all are crap too. TR-6 and previous models are all really awesome.
Have you seen the GT-6? More rare, but a much more interesting car. The good thing, or bad if you look at it that way, is that all these triumphs aren't worth too much, even restored. $5000 could by you a really good one, so projects should be on the cheap side. Not like American muscle and classic cars which people shell out $30k+.