That 6 Remote per player limit is not a good idea, in a lot of games it's just one Techie/Hottie who mines the entire base at the beginning of the game.
Being able to disarm teammate's mines is a better idea. Also liked that priority idea, but the high priority area should be big, for example, in field, mines can work at the silo, at the sniper bunkers of both teams and tunnel entrances of both teams.
Maybe it's best just to add a couple of low-priority spots, places we're it's not logical to mine, like in the middle of the mountain on Whiteout for example (i've seen it happen), those mines should be removed first.