I am Jewish, my DH is not, and we had a Jewish wedding. I told him upfront that we weren't going to do the chair dance at our wedding because it's a tradition I don't care for, especially after having been through it at my Bat Mitzvah. He was mildly disappointed because he always thought that it looked like fun, but understood that I had no desire to be bounced around in a chair (plus he gets motion sick pretty easily so I think he was secretly relieved). We covered all the other "Jewish bases" in our wedding and reception and nobody seemed to notice or care that we didn't get up on chairs.
I also think that out of deference to your medical condition, your DH should be willing to skip the whole thing. You should let DH know that it's gonna look awfully strange for DH and his parents to be hoisted on chairs while you're still on the ground. If they do it without you, people will notice your absence. If they skip it completely, nobody will notice or say anything.
FWIW, we're still totally Jewish married even without being tossed around on chairs.