I'm not familiar with the particular relay board that you're talking about, but if it's wired like
http://www.infinityaerospace.com/trim2.pdf, when opposite trim inputs are applied, both nose-up and nose-down relays will engage, giving you no net voltage at the motor (both motor leads will be at 12V). No smoke, no worries.
It's also nice because if you have a run-away trim condition due to a stuck relay or shorted wire, trimming opposite direction will cutout the motor.
Paige
RV-8A