My own experience is that something in the ROM from doing BB curls is aggrevating the arm. You can try to work through it but that can be rough and cause more pain.
Instead, i'd find alternatives, then come back to BB curls later. It's tedious to have to go to other things but sometimes the alternatives are actually better, trigger some new growth. Try standing cable curls, DB curls, incline curls, preachers, etc. The standing cable curls are completely under-rated, one of the best for size and while the movement's very similar to BB curls i find that it doesn't aggrevate the arms as much, in part by trying different grip widths.
E-Z curl i wouldn't suggest for standing curls, only for preachers. On standing curls it takes too much tension off the bis, IMO.