Here is the handbook for the Erie Canal ride. On page 10 there is some info about bike rental.
http://www.ptny.org/pdfs/canaltour/handbook.pdf
FYI last time I flew on Virgin across the Atlantic I wasn't charged for my bike, but I don't use a box, just a soft sided case so they didn't ralize it ws a bike....also $200 seems better than paying to ride an unfamiliar bike