Yep, we hunt dogs pretty much year-round also. Usually start in August and stop around June for coyotes, cats actually have a season out here. I start with mostly prey sounds in the fall, then switch to coyote/cat sounds in the winter, and use bird, fawn, and mating calls in the spring/early summer.
I've called the same place for coyotes a lot, but not usually the same day. Cats have no memory, so they can be called in the morning, shot at and missed and called in again in the evening. I've done it. Cats are VERY patient, but don't learn much.
Remember; while coyotes and cats both use their ears...dogs hunt primarily with their nose....cats hunt with their eyes. Keep that in mind and you will do well.
Good hunting to you!
Work to live, don't live to work.