1) Need to find the fuse + relay location, it should be in the owners manual.
2) Pull the fuse, the fan isn't needed for the short, because it's winter.
3) Charge battey.
4) Always keep an eye on the temp guage.
I'am not sure what it will cost, because some Auto service stations will turn a small problem into a big problem.
www.autopartswarehouse.com might have your fan sensor/relay