Go with your hunch and upgrade your battery with one bigger. An inch wider and taller should fit if you make some taller holdowns( what I did).
If the new batt doesn't get rid of beep , at least you'll have something with more oomph that won't give out if you listen to some music for 10 minutes with the parking lights on.
If the new batt doesn't get rid of beep , at least you'll have something with more oomph that won't give out if you listen to some music for 10 minutes with the parking lights on.