Do Both
Raymond, I would keep the TR6 stock, even if you didn't do any further restoration on it. The 6 Trophy is a fairly rare model and I would leave it alone. You can go the bolt on hard tail route, and return to stock, but that is a pain the butt. What to do about paint, extra tank, oil bag, so forth. Go buy yourself a Walnecks Cycle Trader and check a couple of the sites in the British section. There are several shops that will sell you a customized model in any style you want for not a bad amount of money. I believe it is Southern Classics out of Altanta who is producing, Bobbers, Street Fighters, and Cafe Racers with old Triumphs.
They look great and are completely gone through. I bought my old chopper from Baxter Cycle out your way, and even with shipping to Va. it was under $3500.00. He has a couple in his his ads now, you may check with him. Trust me, they are fun, the hit on bike night, but you don't want to ride them very far, they aren't much on comfort compared to the R/3.