Hey Jefe!
Plugging your TC's shore power cord into your generator is a fine plan. You'll need a 20A-to-30A(RV) adaptor, but I bet you have one of those already. Depending on the make/model of your converter it may be better (or worse) than the charger you're currently using, but it will most definitely be easier.
The Honda's 12Vdc output isn't a very good battery charger. It's really more of a 'booster' that could re-charge a dead car battery just enough (after a long run time at full throttle) to start the engine. Very useful in a pinch, but there are far better ways to get juice into your house battery.
Also, I noticed that you wrote umbilical... you weren't talking about the TC's 7-pin connector, were you?
Knowing that you're a boondock'er, I think that long-term you would be best served by a high-current mounted battery charger, a large deep cycle battery (in the TC) and a modest (1 panel) solar charging system.
We'll definitely have time to talk battery charging at OX... I'll bring my folding camp chair and a live extension cord, you bring the margarita blender :W
See you soon!
Cheers
-Mark
