Just buy some green velox cloth tape and be done with it. Last time you'll ever deal with rim tape problems. If the flat was caused by thin tube thickness, I would still say that it could have been avoided with some thicker/stronger rim tape. No use horsing around with light weight rim tape if it's going to cause flats. Any advantage that you gain in a race by having 5 fewer grams in your wheels will be lost a thousand times over when you get another random flat during a race. And if you're not racing, just use the most reliable stuff from the start...Velox.
-Jeremy