It will work fine and I'm sure you will enjoy the new wheels. Grease the freewheel threads lightly before installing.
I've used the following combination for over 20 years on my bike...
Campy Tippo high flange hubs
Campy SR crank, 42-53
Suntour Ultra6 (I think) 13-21 & 13-24 freewheels
Suntour Cyclone (first generation) F&R derailleurs
SedisSport chain (I think)
Campy friction downtube shifters

It was all affordable back then and still works great now. Some items (chain, gears) were replaced with same due to wear over the years. No matter how hard I try, I cannot wear the Tippo hubs out, though.

Best wishes.