Is there more than one good way to treat mumps?

Yes. Best prevention and treatment is getting the MMR vaccine at 12 months and 4 years old. Yes, if you do contract the mumps, best next thing to do is time, bed rest, supportive measures for the fever, pain and headache. Hopefully you don't get complications like orchitis, meningitis, pancreatitis and other complications that require hospitalization!
There isn't.... ..Even one good way to treat mumps, that's why we do our best to prevent it with mmr.