Originally Posted by
Speedway2
I'm still looking for a pair of slim running shoes with a similar stiff sole to ride with toe-clips. I think a pair of indoor soccer shoes might work.
There's usually a good supply of old-school bike shoes for use with slotted cleats on e.g. eBay, often at decent prices since slotted cleats are so unfashionable now. They'll have the stiff sole you want. If you don't want to run the slotted cleats, remove them and use the shoes without them.