Technical Support wrote:
The Vagabond Mini will be your best bet. ...What you would need to look for is Pure Sine Wave inverters that are Current Limiting (though the second parameter is rarely specified). ....
Thanks for the explanation. After spending some time looking at related internet blogs, I had pretty much come to the same conclusion: Considering the cost of a good, true sine wave inverter, current limited, of sufficient maximum wattage, and the cost, weight, and recharging issues associated with a lead acid battery, I concluded that the Vagabond Mini would be the best alternative, especially since Paul C. Buff Inc. says it is fully compatible.
The sales folks told me it could recharge an x1600 capacitor 400 times on a full battery charge, and has an interim "trickle" charger from the car cigarette lighter outlet. So, even if it were 1/4 of that capacity it would be awesome for my purposes. And it will handle three lights simultaneously. To me, that sounds like a great value proposition relative to alternatives. (Let me know if the sales folks were way off the mark ;-)