I likewise had a similar injury a few years ago . I wisely punched a wooden fence during an argument and damaged the outer metacarcal bone (bone from little finger knuckle to the wrist). I had similar symptoms with swelling on the two outter knuckles with alot os sharp shooting pain when aly pressure applied to the injured area.
I had actually broken the metacarcal bone right behind the knuckle. This was only founded after a second x-ray (second opinion). Because of the large volume of swelling it somehow managed not to show up on the first x-ray (or someone was just incompetent and covering their ass).
Anyways, it may be a good idea to have it checked again and x-rayed. It may not be as severe as been broke but you "may" have a small fracture in the injured area which dont always show up on x-ray if there is extreme swelling! so say a timeframe of 4 - 8 weeks recovery. 4 - 5 weeks physio and then can start lifting weight again.
Truely, it was about 6months before i was comfortable lifting my normal weights programme, what I was lifting before the injury... It is wise to reduce the weight when finished physio.
Remember...... If you push this injury early it will make it worse in the long-run. Better to take care an be patient NOW and work to getting back to normal in time! Dont make the mistakes I made early on. It had an adverse affect on my training and general life also...!