I drove a T Touring about 20 years ago and I'm finally in a position to purchase one in the next few years. Problem is, er, um, I'm pretty big. 5'7" 350 lbs. I've done some searching and I haven't really found a definitive answer. Could I drive one? I prefer an open car, but would a closed car be any better or worse? Fatman steering wheel seems like something I'd need to start with.
Your height is not the problem -- I am 6'2" and wear a #15 shoe, and I do fine in a Touring Car. It's a bit tight getting in and out with the top up, but I rarely put it up. I suspect you'd do better in a Touring than a closed car, and they are a lot more plentiful.
As for your girth, a Fatman wheel would probably help. I'm 285 and don't have one, but.....
1925 and earlier open cars will have much more room. Open 26-27 cars are a tight fit for the driver. My 27 Coupe had a lot of room (seat was adjustable with instructions in the owner's manual). I'm not sure about the earlier closed cars.
I am 6'-2" and right at 300 lbs. and have no problem in my '15 Touring Car (standard steering wheel).
I know height isn't the problem. Girth is more of the issue! ;)