What's Causing My Pipe to Smoke Wet?

Pipe is a straight billiard briar pipe. Italian basket. Original bowl size was about .700 diameter x 1.50 deep. Now caked up and only about .350 diameter or less. I like the cake for a quick smoke and don't really want to ream but if that will make it smoke drier, than I will. This is my quicky smoker. The stem and tenon is a little strange in that it almost seems like a filter pipe originally, only I don't know of any filter that would work as the diameter is only about .200. I'm mentioning this because maybe this large gap creates condensation? It also probably contributes to the great draw on this pipe which I love and the pipe makes large volumes of smoke. None of my other pipes collect so much moisture. I smoke dry and don't salivate much when I smoke. I am a clencher, but don't think this is the problem as it would show with my other pipes? I have rested the pipe which doesn't seem to help.
Would modifying the pipe to decrease this space in the stem/tenon stop the moisture? I can never smoke this pipe to the bottom because the tobacco gets so wet, nor form any heel cake whatsoever. I don't want to use philt pads. I do not like my tobacco extra dry, but don't have this problem with any other pipe.
Anyone have any solutions besides living with it? Even though I bought the pipe for $20, I'd be willing to spend money on a solution because I love the way the pipe looks and smokes the first 3/4 of the bowl. Anyone else solved this issue?
Thanks in advance!
I will be honest and admit that before joining this forum I just smoked the hell out of it anyways, but you could say that since joining, my palate has become more refined and I don't enjoy the sour smell anymore!

I really think it's the air space in the stem. That could be fixed, and I will most likely send it in. I don't think it's me because I don't have this issue with my other pipes. I wonder if too much cake causes the moisture as the cake is very hard. I don't want to scrape it yet though as all my pipes have lots of cake and smoke pretty dry. I think I'm going to go with blaming the air space in the stem, and tenon, and send to get the stem replaced or modified, and the tenon shortened as it's a semi canadian style.
I really love this pipe so spending twice the price I originally paid for the pipe to get it fixed is not a moral problem for me, though similar billiards exist and I might just search for a new pipe replacement if I can find one.
I like moist tobacco and prefer a straight pipe so maybe I'll buy a peterson system 31 or a falcon. Never seen a falcon in person though, and online the bowls look too big.

Thanks Harris. I think you're right. I'm going to try some philt pads or something similar, or else I will send to get fixed if possible. I love the look of this pipe more than any pipe I have ever owned or seen, so it's worth it to me even though I bought for twenty bucks. Something about the look of this pipe just screams PIPE. I'll try and put up a pic tomorrow. Straight small bowl billiard semi-canadian rusticated with a saddle bit. Wish I could find another that smoked dry.

Thanks guys. I sure hope it can be fixed. I appreciate hearing your experiences. I'm just going to send it out before giving up.