Horrifying, right? Wedge an ACID kuba kuba in your pipe. As shallow as possible. Commence smoking. I have a medico I did this with. It was wayyy old. Smelled absolutely terrible. I tried it with a normal cigar, no luck. Decided "what the heck, It'll be a aro pipe anyway, I'll try it with an ACID." The cigar smoke re-flavors the inside and gives it a decent ghost to cover the pipes musty smell. ACID will leave a little sugar in as well. Now yes, there will be a ghost. Yes, you will taste ACID cigars for your first few smokes after. The trick is to wipe the inside down with a dry paper towel after the pipe dries and cools. Less noticable ghost.
Try it with a normal medium/mild bodied cigar first. It will taste like cigar but it will cover old weird mustiness with a tobacco flavor. If that doesn't sound do-able, just smoke the pipe with something strong. After 10 or so smokes, you'll never be able to tell the difference. But I stand by my cigar-in-pipe cleaning method. I find that it works great and adds a slight flavor to my pipe that I tend to really enjoy for that first few smokes.
Glad you enjoy that hand-reaming! Frankly, I think its a just plain better way to ream. Better end product. And it doesn't hurt that it makes the project a lot more personal. I just reamed a dress pipe I'm making last night! Doesn't look to shabby if I do say so myself