I am going to a chiro and I have hyper mobility. You just need to make sure they aren't the kind that tries to force a movement. Mines not if I don't crack I don't ( I see mine for an unexplained paresthesia issue) but some try to force it, those are the ones you want to avoid.
I wouldn't see a chiro for spd unless they specialized in pregnancy or it was one I trusted. My friend had spd during pregnancy and got some relief from her chiro.