There is no problem with the CC output in parallel with converter and alternator, that is the way our system is. When on shore power and the panels are in full sun they will over ride the convertor. I just turn the convertor breaker off most of the time.
400 watts will offset your gen run time but even in FL or GA you can't depend on 6 hours of full sun every day.
I measured a friends system with the ginney running his inverter was putting out 60 amps to the batteries minus the 17 amps needed for the refer. Under those condition they require 5 to 6 hours of ginney run time to completely recharge the batteries. 400 watts of solar under ideal conditions will produce around 22 amps. A WFCO convertor (some not all) may produce up to 20 amps or so for about 30 or 45 minutes when the batteries are at 80% SOC. Other brands will do better but with the reefer you have an inverter/charger is a better option then a convertor and inverter.
None of this takes into account other DC loads.
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2016 Axis 24.1 E-450 6 spd tranny
300 watts portable solar.
200 watts solar on the roof.
Wrangler JK dinghy
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