I ride fixed with a normal road or cross frames and 170-172.5 cranks. The only time I've gotten pedal strikes was with 23mm tires and big chunky platform pedals. The thing is it only seems to happen at low speed turns, and has never been a big deal the few times it happens. With lower profile pedals like crank brothers I've never had any problems. Just be conscious of the bike you're riding and your surroundings and you'll be fine.

I hate the feel of both high bottom brackets and short cranks, so I don't use either. YMMV.