yeah, don't use a bag. you need a hard case, preferrably, and a box at least. my shop loans cases out. if not, buy one, you'll be able to resell it on CL no problem.
(I had been thinking of asking some travelly friends to go in with me on a case- we'd split the cost and have it around for when any of us travels- but no need now since i'm getting couplers. but it's worth considering)
read the other thread on bike flying.
basically, you will be over the limit size-wise. i've tried very hard and have yet to find a way to package 700c wheels and a frame that is under the limit. but as long as you claim it's not a bike, they tend not to charge for it. even if they do charge, which would suck, admittedly, isn't it worth it to have your bike in one piece once you get to the other side??