Do you mean the old one that's about 2ft tall? I'd be hesitant to ship it since it's heavy and probably has sensitive pieces in it. See if Hillrom has a roller case that will fit it. I've taken mine, which is the smaller 1ft tall version, the roller bag makes it easy. Get a Dr.'s note and you can take it through security and put it overhead (if the smaller version) or maybe check in with the strollers and such. Also... if your medical equipment is the reason you have extra bags, you can check your regular suitcase in free, at least one airline told me that.
I'd also say if it's just a weekend trip or a few days consider leaving it home and doing an alternative. There's chest pt, acapella, and other options that are much more portable.