Hi Konrad.
I to love the 1950's Grand Prix cars, so I choose a 1930's that was almost a 1950's style!
However re gearbox, whilst I sit in me comfy chair and think about driving a car changing gear is an integral part of the driving experience and fun... I can honestly
say while pounding around in a CK I've never had time to worry about gears, or even felt I wish I could grab another gear at any point.
Honestly I'm too busy hanging on and smiling from ear to ear.
I will also mention even with a standard engine (well no oil sensor and a tuned exhaust, no other toys added) it has gone a smidge, nay hairs breath over the speed you are talking about! (actually a whole heap more in fact but I'll say that very quietly)

As for drifting, doughnuting, and handbrake turn
Yes almost every corner, never tried but recon on gravel not a problem (apart from anyone watching who will get showered in peddles, and I've no handbrake!
Bare in mind everything you know about cars...pretty much doesn't apply to CK's.
And if you want a go with a no frills, one wheel driver, no extra toys on the engine CK you are quite welcome to give mine a go...I dare you not to be smiling when you get out of it.
Good luck with what ever you end up building.