Originally Posted by cyccommute
In the realm of goofy tire problems, might I suggest that you carefully check the rim tape and wheel for burrs? I had a wheel that drove me crazy with metal burr that came loose. Had flats all the time and they seemed to move. Sometimes they would be on the inside part of the tube like a snake bite and sometimes on the outside of the tube. Finally narrowed it down to the burr when it got embedded in the rim tape.
+1 on the burrs. Especially with the old rims, this is quite a common but annoying problem.
It sounds like you kept the *same* tire and tube when you replaced the wheelset. Is that correct? Is it possible that there are small bits of glass or metal embedded in the inside surface of the tire? Check for those carefully, shine a flashlight around the inside and outside of the tire and look for anything that glitters a bit.