I leave my Beaver coach plugged in on 110v. I leave the coach batteries on but chassis batteries off. My 2000 watt charger/converter does a good job of looking after the house batteries, but not the chassis batteries. I have a parasitic drain on the chassis batteries I have not been able to find yet. I'm not sure if my Echo charger is working properly, still Looking into it.
I solved my chassis battery issue by installing a separate 12 step NOCO smart charge battery maintainer that I leave plugged in as well on the Chassis batteries. It now holds them at 100%.
Here's a link to it if anyone needs a good one. Ratings are 5 out of 5.
Noco Switch Mode Multistage 12 Volt - 7.2 Amp / 24 Volt 3.6 Amp