My bike rack specifically says to NOT use it on that kind of hitch adapter. It's a 2 bike rack.. So I'm guessing yours has the same warning. Weather it's a genuine concern or a CYA warning I don't know (I am going to guess CYA) but test the theory.... NO THANK YOU.
Hitch Adapter If this is the right size (You said an inch and a half but I think it's an inch and a quarter) then it will work, so long, that is, as you are not towing a car behind the motor home, and it's half the price as well.
What I did.......
On my coach I have a ball-mount type bike rack.. This needs a "Tong" with a hole in it, just like a ball mount does
I also needed a drop hitch receiver adapter for towing the lumina .. .I had Blue-Ox custom make one
It is a 4" drop with a tong on top.. The bike rack is bolted to the tong
Before that I had a 1 1/4 inch adapter with the bike carrier bolted to it.. The inch and a quarter receiver was welded on top of the older way too long drop hitch adapter I had.
You could (if you have the room) weld a 1 1/4 inch receiver on top of your 2" receiver Likely cheaper, and stronger