you would do a switch rodeo.,,
If you do a back flip you are flipping backwards. Do a front flip you are flipping frontwards.
Therefore if you are doing a switch back flip you will still be flipping backwards, thus you are more or less setting the same thing if you want to simplify. Just cut out the movement and just imagine someone or yourself standing at the edge of the jump (switch or not) doing a rodeo, they will throw the same either way they are facing.
I think this is a perspective issue though. To the person flipping they are doing a rodeo but to someone watching, not knowing which way they are facing it would look like a misty if that makes sense.