When I used to raise rats and mice, I always had them in my bedroom. I found that a complete clean once a week (dump litter, spray with Windex and wipe out) worked just fine at keeping down odor. I used aspen shavings as a bedding.

When I first started out with them, I still lived at home, so my parents would tell me if it smelled or not. They rarely did, so it wasn't just me!

The only concern I would have with the baking soda would be the dustiness of it. As long as you're not seeing any sneezing or eye/nose discharge, you're probably ok. I don't know of any long-term effects of breathing in baking soda all the time, but there might be something.