Hi ,
you can take NSAID's ,(non-steroid antiinflammatory drugs), PAINNAID( i don't know if they have it in your country) but search for something similar,it releases 16mg of diclofenac per ml,thats the same substance with Voltaren, it is especially for joints.Heat and ice and vice versa,and optionally you could use electrotherapy(TENS) which by the way is extremely helpful and healthiest of all. Not to mention not strain on that finger but if you must tape it up( taping increases pull strength up to 500 newtons, annular pulleys break usually at 450)
wishing you the fastest recovery
jim