Nice info on the Wiki (I've never owned a TR6, but I'll pass it on to others who do).
Yes, I've used the Kumho Ecsta V710 or the Kumho Victoracer in the past for my club racer. Great tires, but unfortunately, they no longer make a tire in my size (185/60-13). Based on my experience with the race tires, I'd guess the regular Kumho street tires would be fine.
I have also used the Yokohama A032R (soft); another good tire, but they are also out of production.
These tires are "DOT" race tires and cost about $115 each. I usually have them shaved and heat-cycled which is another $25 or so (each). I get about 500 race miles per tire, so not really practical for street use.
In two weeks I'll be trying out Toyo RA1s....another soft, sticky "DOT" race tire for the first time (at the BeaveRun track). These are the "spec" tire in the SpecMiata class. Luckily, they make a 13" race tire that fits my car (for now, at least)
For my street commuter (Miata) I have Yokohama ES100s. Very nice and grippy, but they are a "summer" tire only. I use Conti Winter Contact (similar to Blizzaks) in the cold months.
For some of our Brit street classics, the tall, skinny tires look better, I think. Vredstein makes a number of taller, narrow sizes that give more of a classic "look".
Avon and Dunlop are the "true Brit" tires, so I guess they are the most suitable.
If you are on more of a budget,
~NANKANG TIRES~ make some thinner 15" tires that would be great for some Brit classics ($35 for the 165-15 size)