Yeah, that makes sense. I would prefer 2 as well. Someone would need to setup a proposal to fund it though, as well as do the work to handle the conversions. IMO, it is outside the scope of the current proposals that are funding @hbdstabilizer. Stakeholders voted on the hbdstabilizer proposals assuming it would work a certain way. To change how the funds are used after the proposals have been approved does not seem like a good idea.
I don't run @hbdstabilizer. My only involvement with it is to create these @hbd.funder posts which send additional funds to the account. @smooth is the one who actually runs the stabilizer. You may want to reach out to him and see what his thoughts are on handling the conversions to add support on the other side of the peg.