I breed my female mice back to back and they enjoy a nice long life. I've had some females almost 2 years old still producing 10+ every month, and are great moms. Splitting them up and re-introducing them is just way too much hassle to fool with.
If you're breeding pet mice, sure. But these are for snake food, different requirements, imho.
Up until this fall I was running 5:25 and feeding everyone quite well, hatchlings and adults. The rats were really taking a load off of having to raise up mice for adult food when I could have really used the mice pinks.
I don't count how many I get per month, to me that's just anal. But everyone one of my snakes was fed every week, give or take. So I don't think that's too bad.
You might talk to Sasheena about her issues with raising mice in Arizona. She had quite a lot of trials and tribulations over failed AC's and quite a few mice deaths. Or at least search up her old threads on the subjects, quite an interesting read.
As far as changing every day? Only if you have the money to waste with buying aspen litter. Changing every day could get very expensive. I change mine every week in the summer and every 2 weeks in the winter here in Indiana. The oppressive humidity makes them stink more, the dryer the air the longer you can go between cage cleanings.
Mice smell, period. There's no getting around the aroma really. You can only lessen it. The best formula I've found is aspen litter with a good healthy handful of timothy hay. They have nesting material and nibble on the hay and the chlorophyll in it keeps their odor down. Marshall Ferret Co produces 'Bi-Odor' which works great, you add it to their water. But it is cost prohibitive.