Interesting thread.
They say it takes 1 horsepower for to turn an alternator and produce 25 amps, So you would need an 8 hp motor running at max rpm to turn the 200 amp alternator fast enough for it to approach it's claimed 200 amp output.
I couldn't imagine an 8 hp Briggs and Stratton roaring away in the hold or on deck.
And say it is roaring along, and your inverter is asking for 2000 watts from the battery bank. So you fire up the B&S to pump amps back into the batteries which then send it to the inverter.
Sounds like it would be very hard on the batteries.
I hear you about the cost, but a 2000 watt Honda could serve your AC loads, and replenish your battery bank with a big charger. Quietly. Walmart sells 40 amp vector chargers for pretty cheap. You can put 2 on your battery bank. There is a guy over on RV net who runs 2 vector chargers at the same time off a honda 2000 charging the same battery bank.
http://www.rv.net/forum/index.cfm/fuseaction/thread/tid/23799919/gotomsg/23800766.cfm#23800766
You could easily run a 80 amp charger off of a 2000 watt Honda.
Keep in mind your batteries could only accept that kind of amperage if they were very low, and only for a while, but not if they are old, abused and sulfated. AGM batteries could accept much more and faster, but again, cost.
But anything has to be better than running your engine for hours and hours on end for relatively little charging.
If you had a generator, you would not need to abuse your battery bank as much either, and would be able to recharge it easily quietly and quickly those times you do.
Another option would be to put another alternator on your current engine, one rated at higher amperage, and put on some 1 gauge or 0 or 00 gauge wiring to pass the amps.