I have the exact opener and ran a 6 conductor to the control panel and soldered to the tact switches. Using 3 Elk relays I now have total control of the opener, the light and the lock. It hasn't failed me since.
I thought about the flash to pass system but decided that If I want better security I can remove the standard opener from any vehicles or have the ELk lock the opener.
Sorry...I know you didn't want to run a wire but you are limited to only a few options.
Any chance you have and could share the details of the connections to the tact switches made within the control panel