Sounds like a plastic container or 10 gal wouldn't work too well given OP's space constraints. (5" wide)
It has been a while since I've done much ceramic work, (and by no means am I an expert) but I would think it could be done, especially since that won't actually hold much volume given those dimensions. You'd want to glaze the inside to waterproof it, and make sure the joints of your sections are well connected, as that'd be your weak points. Also, trying to really create straight walls at those dimensions could be difficult (maybe make the slabs you want and connect then after they have dried some), as the weight of the clay will cause it to warp/droop as it dries. Also, don't make it too thick or it can explode in the kiln, but you shouldn't have to even get close to that thick, as it'd have to be over an inch thick to be a risk, and you probably don't need to be thicker than 1/2". I'm sure your pretty club can help you with the details.
Last edited by DumpyDuck; 09-25-2014 at 03:56 PM.