I use Doug Chapman as my main outfitter... when it makes sense geographically.  He has the center & the east ends of the park covered nicely &, as mentioned, will keep you entertained.  I cannot say enough good things about this guy!  He'll do whatever it takes to ensure your trip's success.

On the other hand, years ago, I have also gotten fine service from Jim Clark at CC plus they DO have the bunkhouse.

However, travelling on west end, I'd have to look carefully at Seine River Outfitters.  They're based over there, can provide the shuttle (quicker, possibly best price), & can provide accommodations.  I've heard good things about this outfit though I've never used them personally.  My guy on the west end was always Dave Ribey of Quetico Wilderness Outfitters based on Flanders Road (even closer to BH) but I don't believe he is in business anymore.

You can't go wrong with any of these choices... though Doug is likely the most amusing of the bunch.

Jimbo   8-)