I agree with the rheumatological answer for general trealemtn for a positive ANA
with joint symptoms
specifically for the hands, fingers and wrist, a wrist splint amy help.
It may be better for blood drawing to wear a soft splint. One the is a soft thumb spica splint without any metal or plastic stays. A rigid splint may get in the way too much during a blood draw.
Another options to wear a rigs splint and take it off when needed.
No splint should be wore full time all the time especially if a person needs to work and it is ni the way. I always say that the splint should aid and assist not get in the wary and hinder. Do not let the splint govern what is done during the day, i.e. Don't stay out of work just because there is a recommendation to splint, find one that works or take it off to do certain things
an injection in an inflammed joint after a workup and x-rays to rule out other issues may help as well for a painful swollen joint.