My solution was to run it, Get a ticket and fight it in my trial.
I had a lot of experiece being an Architect for a Fast food chain where loop detectors are installed in the drive thru lanes and knew what the problem was before crossing. I was found NOT Guilty BTW.
In my preparation for trial, the City engineer I met said to approach the intersection over one side of the loop. You can usually see where the loop is from the sawcuts made when they installed the detector loop wire. Most City detectors are retrofits and have sawcuts. For my particular light, aligning over the wire still did not work. The problem with the loops is they usually extend past the stop stripe because people stop past the stop it to see on-coming traffic.
If set too sensitively (usually what is needed to detect a bike) detector loops will also pick up traffic in the crossing lanes and "Lock up". If not sensitive enough even, magnets, kickstands and bike alignment over the loop wire will not work.
The best thing to do is contact your City's traffic engineer and have one of the engineers meet you at the light giving you problems and calibrate it to detect you. For the light I had a problem with, the calibration was set to max sensitivity to get it to work. They may not be willing to do this because of the lock up issue. My city won't recalibrate all the lights, only on a case by case basis. Until I complain about a specific light, the calibration is set "for cars, not bikes". The City I live in is also switching to video detection which works way better than detector loops.