I think this is a great question.
I will have to do the same as T-dogg one rainy day and write them all down. For now I will call a provisional and say 125, but not really sure.
I know the majority of my golf has been in RI and I can't think of a course I haven't played. I am sure there may be one or two, not counting 9 holers, but RI is so small I think I may have covered them all.