They will use my OEM seat as the base, then put the Baldwin seat on and send it back. Given the situation, it's the only real solution at this point.
If I had known this would turn into a problem, I would've stayed with a Corbin seat. On my last bike, which I still have BTW -- a Honda ST1300 -- I bought a Corbin seat and rode for a while to decide if the shape could be improved. Then, last spring, two buddies and I rode to Holister, CA to the Corbin factory -- mostly on the slab (except for the shortcut past Edwards AFB), 700 miles from St. George, UT. They have a service for daily "ride ins" that will re-shape your seat one time for free. (A second time isn't free, of course, but still worth it if you buy a used Corbin seat from another owner.) It was a great experience and I got a perfect seat. Then we rode down the coast for half a day before turning inland. We rode through Death Valley on the way home. But that's another story.