I have a 69 convertible, also with 14 x 7 (rally II) rims. After a fair bit of research, and based on my intended 'pleasure driving/cruising--not racing' use for the car, I purchased red line radials (215/70R15) from Diamondback. These are Michelin Harmony X-series all-season tires, and I've been very pleased with their ride quality, handling (wet and dry) and quiet ride characteristics. They weren't cheap, however: $258 Canadian each through a dealer here in Ontario.
Diamondback also offers red lines based on BF Goodrich and I think perhaps Cooper tires, but I wanted long-life without separations/flat spots etc, and Michelins generally deliver in that regard...(my 1965 Corvette has Sears-branded 'Tredlock' kevlar-belted radials made by Michelin and they're still good (no cracks/separations etc), 23 years after I installed them. Only the age of the rubber is leading me to replace them before using the car.
