I agree that with 14" core it should be at least 2" deep. The longer the magnets the better but if you make the hole in the middle too small then with your coils touching on the inside, the outer edge is widely spaced.
2" seems a nice compromise.
Magnet width may be decided by available block sizes. Lots of small coils are a bit easier in that the winding bobbin needs less wire but you suffer when you come to connect all the ends up if you go for too many poles. If you have an oxy/acetylene torch you can braze the connections with silphos very quickly with no need to skin the enamel off, if you have to solder it gets tedious.
Most of the earlier variacs including Zenith used stamped discs, it seems to be the smaller ones and perhaps very late ones that use strip cores.
If you could find a 30A 3 phase one with strip cores you might have enough core material for a decent alternator. The difference in scrap price and new is really dramatic when considering cores. There wouldn't be many motor conversions if you had to pay the true price of the core.
How about trying a radial version with a large diameter motor core, cut the teeth off the inside and have magnets inside like a motor conversion and outside like a drum alternator. You may have to use smaller magnets on the inside but they would still help. Without the inside it would become a gramme ring winding and still work but with higher resistance for a given output.
Flux