Easy way to get rid of mines...
1. Set up a proxxy mine next to your enemy mine without getting bleeped (set off) by the enemy mine. Get an enemy in. You destroy the enemy(s), your mine, and the enemy mine.
2. Another hard to do, set up a remote mine just out of bleeping range of your enemy mine. Back off. Press the pretty big red button. Boom-boom chain reaction.
3. Super easy = concussion grenade. You may wunna use the ones above since concussions are quite valuable in romulan cloaking-mine level.
4. Tricorder tick-off. All mines have a detection range about 1/3 of total damage range (killing to minor damage counting). If you take, say By the bolain, bring him up to the mine, tricorder out, the moment you see the top of the mine change color red-blue, you start running. chances are you will take about 1/2 through 1/5 damage (depends on character and if you know what running is yet)