Around five years ago I broke a finger and badly sprained two others racing pairs at 24/12. Carried on riding that day after I decided it was 'just a sprain', then carried on training for months afterwards in a state of willful denial.
While it was really sore for the next few months, I used the Specialized equivalent of Ergon grips because they were the only way I could hold the bars. They seem to put more load through the palm area.
I never went to the doc because basically I'm stupid like that and to be honest, I suspect they'd simply have taped it to the next finger which would have stopped me riding. Slightly misshapen joint now, aware of it in very cold weather, but basically not a problem, though it took about a year to feel normal-ish.
Everyone's different though, but I always think that if Joe Simpson can basically smash his leg to bits, get told he'll never climb again and yet carry on climbing, riding a bike with a trashed finger isn't that big a deal. But the Spesh BG grips really helped when it was painful, made the difference between being able to ride a bike and not.