There is a 12V cigar lighter adapter for it. Although I didn't see the input listed anywhere, I wouldn't be surprised if the wall wart puts out 12 volts. The point being... you don't need AC power to recharge it.
While I haven't seen this lamp in action, I suspect that I would prefer to have multiple lower output lanterns scattered around, than one high output one. Typically they'll be more efficient at lower outputs, and my biggest concern is what amount of GLARE an 1100 lumen output lantern would produce. So I think that I would agree with AVService on this.
Also as Timothybill mentioned, the Tenergy 10,000 ma NiMH batteries work very well in 300 lumen lanterns. In fact three 1.2V 10,000mah batteries have a very similar capacity as three 3.7V 3,100 mah LiIons. Carrying the math a little farther, they would have a little more capacity than the 8800mah battery pack.
The draw-back is those 10,000 mah NiMH batteries are a little costly (actually similar in cost to an 18650) at about $10 each. Unless you use your lanterns regularly, or maglights, you'll have a lot of capacity sitting around waiting to be used.