Thats putting a lot of faith on the battery being fully capable, but if your alternator failed, the battery has probably been stredded for a while, and I’m guessing, it isnt new either. If you cant afford to fix the alternator, then you cant afford the tow truck either. wear your layers, and your good socks, and move swiftly, but dont allow yourself to sweat, better to be slightly cold than overheated. Find a friend who can help you with a ride.
Well, as I see it, there are only 2 possibilities. It’s either something, or nothing. ;)