I'm size 12 and regular shoes don't seem to fit vintage pedals for me... I've put SPD's on all my bikes. I ride some with entry-level lake shoes for road riding and some Pearl Izumi's for mountain/touring bikes.
The one thing I did that helped tremendously with hot foot (I pretty much always had issues on anything over 80km) is removed the stock insoles and replaced with Dr. Scholl's Gel inserts... it's a fantastic difference.