I have had a dedicated rain/winter/city fix gear forever. (It was also ridden year 'round as a fix gear training bike until recent years.) THat bike has seen cyclocross tires and studs n the past. (The studs always went on separate wheels.) 15 years ago, I set up a geared bike that is similar. (1980s sport bikes set up for 27" wheels work really well for this. Running 700c, you have plenty of room for fenders and big tires. Mafac brakes almost always reach the lowered rims with no issues and are still widely available used. The joke used to be - $50, but you had to remove and dispose of the Peugeot UO-8 attached to them. Now those UO-8s are becoming popular. Seriously- Mafacs work well even in quite worn condition. Small play in the pivots isn't a big deal. A lot is quite safe. (This coming from someone who has probably 70,000 miles on them.) My current two rain/winter/city bikes share a set of Mafacs, both as fronts. I use lesser centerpulls as rears. Most centerpulls can be adopted easily to the other position with a quality hardware bolt.
Ben