Why not just buy regular rim tape and take care of the problem once and for all? One of the most miserable rides I've ever had involved having two flats on the same ride. I had bought a new wheelset that came with some flimsy rim tape that worked well for about four rides, then boom, the fifth ride resulted in two flats at different times, and since I only carry one spare tube (and was sure if I patched the new flat, it still wasn't gonna get me home), I had to make a telephone call for the "shame car ride" 40miles from home. My then wife was not amused.

Now, I don't mess with "make do" rim tapes. Velox is what I use now.