The best choice, in my opinion, when charging LiPo packs is to charge them outdoors and to put them in some sort of fireproof container. I have a ceramic pot with a cover that was made to charge LiPo batteries by a friend. You can get something like that at lawn and garden shops everywhere. Another choice is a LiPo Sack.
http://www.liposack.com/
You can put your LiPo battery pack in either one of those, or others for that matter.. a concrete pad with four cinder blocks forming a bowl will work just fine too. Or outdoors, on something that won't burn, and leave it exposed to the air.
The main point here is "outdoors". Keep it away from your car, your house, or anything else you care not to burn down. No, this is not trying to convince you that LiPo's are bad, it's just that they take a bit more care and feeding than other packs and a bit of caution is always a good thing.
As far as a stable and sturdy 3D is concerned, well, one main characteristic of a 3D plane is light with a lot of power. So, light means build them light with light materials. Balsa.. well, something like a Reactor 3D Electric is light, but it is also very fragile as most light aircraft are. If you want something that can withstand some abuse, balsa is not the way to go, but Depron or some such foam airframe is.
CGr.