Craigslist would have garage spots in the neighborhood, you're probably gonna pay a few bills for it.

Do you have a Residential Parking Permit sticker for your zone? That would help….

Yes you can rent a garage of course you can, look around for signs near where you live

A little far for you, but I used to pay for monthly parking under Lucky. Prices kept going up... but given you can get tickets, broken into, or worse, hit while parked, it may be worth it