The TR6 was a single carb, much easier to keep in tune and as fast or maybe a little faster out of the hole (don't forget the 360 crank was originally used with one carb in mind), but the twin carb T120 has an advantage in the top end dept, but really not a lot. In 63' ,when the unit big twins came out, TR6 and 120 cams and a few other things were different, but by 66' <I think> it was the same engine with different heads that accomodated single or twin carbs.
Both these models are commanding the highest Triumph prices today, the Bonnie T120R, being the highest. If you'd like a rather nice 66' Bonnie, that seems to run fine and aside from needing a good detailing and has a small dent in the back of the tank, Steve Ritzko has a nice one for sale, M&S Cycle 518 377 7980. Once he cleans it, fixes the dent, lubes the cables and puts new rubber on it, it will be worth between 6K and 7K, depending on where he tries to sell it. I think right now he wants somewhere around $4500. You'd be an idiot to cafe this bike, though, as it's original and nice; just been sitting in somebodies garage for awhile. He's also go a real nice BSA Lightening for 3K, but that needs some engine work.
I'd get a 73' and up that runs well but needs cosmetics. Then you've got a 750 with that great Triumph 5 speed. Take someone with you that knows Triumphs, if you can.
Good Luck,
Dgy