Wow you must be using some amperage with an inverter running .Every day I need enough charge up my two 130ah to be able to watch my 28" Samsung TV with sound bar through my inverter for three hours.
As long as I do a few miles and there's a bit of sun during the day I'm almost always ok.
I have no control over how much charge I can get into my batteries but I can control how much a take out - via the voltmeter.
I’m running a 27 inch Avtex and sound bar on 12v and with some lights on I’m averaging around 5-6 amps per hour so With a decent set of batteries I should be ok for a few days off grid…well that’s the theory anyway