here is an inspirational picture if you decide to go with a sunbeam alpine (64) last year of the fins on the tail.
This cars suspension was converted to Spax shocks and custom springs, it handles excellent. Stock engine and trans rebuilt using modern techniques and fully balanced which makes the car much more reliable and fun to drive. Electronic ignition, Positive to negative ground conversion and an internally regulated alternator instead of a generator. It's no race car for sure but it gets more attention than my 69 911S
Keep in mind that none of the 60s-70s era British sports cars live up to today's standards of fit, finish, reliability etc. Choose what you like and re-engineer the typical weak points, get AAA, and go drive it. Any of the old British cars are a blast to drive due to the fear factor and the illusion you are going faster than you really are.
Note the Porsche 924 wheels- seems to be an odd combo but they resemble lat 70 race wheels from the late 60's and they are cheap.
Enjoy your search!