Mart, not many gunsmiths want to tackle the 1885's, as they're a pain to disassemble/reassemble, especially when you have to do it repeatedly as in fitting a new barrel. One guy that I know of who does excellent work and sort of specializes in single shot rifles (and the Brownings) is Mike Lewis of Walden, Colorado. He has rebarreled one Browning for me, and several for some other folks I know, and does top notch work. If you want his contact info, email me at pennellgreg @ aol.com (remove the extra spaces).
Greg