I currently own four Brighams, including a new #384 Mountaineer Volcano that is cooling off right now after its first smoke. After perusing the comments in this thread, I thought I might add my two cents worth . . .
I break in all my pipes the same as mcitinner1 and kanada, just fill 'em and smoke 'em, but as was taught to me by an elderly piper I know, "do it gently, always sip, never puff", which I find is the best way to smoke a pipe broken in or not. The only times I have experienced a bad smoke (very rarely) is when I have forgotten this advise, usually as a result of being preoccupied with something else.
My usual routine is to smoke a pipe once every two days, although my Brighams quite often get smoked once every day, as they are such good smokers. I find the rock maple filters wick away most of the moisture and none of the flavour, and also seem to prevent me sucking up any small bits of tobacco or hot embers, as occasionally happens with my unfiltered pipes. Once my pipe has cooled, I pull the filter from the stem and rinse it in hot water and set it aside to dry. When I re-assemble my pipe I insert another filter (I rotate two filters for each pipe), which gives the just used filter lots of drying time. I'm quite, as my wife frequently points out, "anal retentive", so I do keep a chart of info for my pipes, including how many times I've used the filters, which is averaging out at around twenty times each.
I occasionally run a pipe cleaner through one of my Brighams mid-smoke if the tobacco I am smoking is proving a bit too wet (probably from a fresh tin of something new that I couldn't wait to try!) and causing the pipe to gurgle. I too was a bit dismayed that I could not run a cleaner all the way through to the bowl, but I have found that tipping the pipe so any extra moisture collected can run toward the end of the filter where the cleaner can start to wick it away works quite well. An added bonus is that I can't run the cleaner in so far that it disrupts the bowl contents enough to give me a mouthful of tobacco/ash/embers.
FYI - I am a relatively new to this pastime, having always thought that "one day" I would be old enough to smoke a pipe. I'm 53 years old, and just started this past March . . .