installing solar panels without drilling holes

I would not go with mounts glued onto a rubber or similar membrane roof. The glues used to hold the rubber down on the wood are not super strong, and localized pulling such as a panel might produce when driving or in windy conditions could easily tear it away from the wood (or tear holes in the rubber).

As with the others, I would strongly prefer a mechanical attachment (i.e. screws or similar), of course with appropriate sealants.