I wanted to let everyone know a new converter fixed the problem. We just installed a week ago after purchasing awhile ago. We won't go into reasons for delay.
We bought the Progressive Dynamic from bestconverters.com. Installed it ourselves in about 1 1/2 hours. Ran into a little problem and Randy at bestconverters answered the phone (twice!) on a Saturday at 5:30 EST, not sure what the time was for him. We were hesitant to do it ourselves but it was actually pretty straightforward.
We have tested the battery and camped this past weekend. Battery is charging, no clicks, dimming or sound coming through speakers.
All is well, thank you for your suggestions.