You'd have to go knocking on doors and inquiring. Every convent/monastery is different.
I should think it would depend on the severity of the illness, esp. when/if your medication "gives out" and you start exhibiting symptoms again. Everyone's safety would be the first consideration.
There are always Third Orders, diocesan hermit, and consecrated virgin options, too, which might be more appropriate. You'd have some support from others, but would be able to stay on Medicaid/Medicare.
We are offering the Claustral Oblates of the Military Martyrs, for which we have one committed foundational aspirant.
As always, I'll be more than happy to discuss this with you off-board.