There's a few ways to approach this - had similar issues myself but had good success with a combination of these. Eventually my fridge broke, I got a new one, then fixed the old one
1. If it's wintertime you can get away with putting the fermentor into a tub of water and swapping ice packs daily. It won't get anywhere near 32f but under 50f should be doable, and that makes a pretty good lager. Use the freezer for the new batch.
2. If your fermentation freezer is big enough you put both the fermentors in there and set the freezer to lagering temps (say 40c). Then add a heat pad/belt on it's own temp controller + blankets onto the new batch so it warms up to fermenting temps. Haven't tried this myself but you would be good to go with 2 lagers, not sure about warming one up to ale temps inside the cold freezer.
3. Ferment the new ale batch in a swamp cooler outside of the fridge. Nothing wrong with swamp coolers, other than the time requirement to change bottles.
4. Give your lager 3 days diacetyl rest outside the freezer, and while that happens put your new batch into the freezer so it has stable temps for the first 3 or so days of fermentation when that is most important. Then swap them around to lager the first batch and let the new batch finish at room temperature (with swamp cooler if necessary).
5. Bottle your lager and lager in batches however you can after it's carbonated. Sometimes it's easier to work with smaller bottles vs a full fermentor, gives you more options. Thing to watch when shuffling bottles around with this method is tracking which bottles have had lagering time and which haven't.
Also, I started with 1-3 gallon lager batches. These are good because less liquid volume makes the swamp cooler a lot more effective and you have less bottles that need a fridge at any given point. 1 gallon = 7-8 pint bottles which you can stick in the food fridge if you have to. I just found the small batch lagers more convenient and treated them as special-occasion type beers given the amount of time/work involved.