honestly It'll ruin the random bgs queue like fuck but I'll play.
1 Healer for 2 dpsers.
Makes it
5 healers for 15
3 healers for 10
13 healers for 40
Then you would also have to enable the "flag carrier" - tank role for some of the BGs, other BGs also require a tank for the final bosses (AV and the other place)
1 tank in 10
0 tank in 15
2 tank in 40
The solution for your problem is valid, but the "fix" for it can't simply be added like that because of queue times and class balance.
Honestly if you want to be a demi-god in random bgs get healers you know to follow you, I've gone 19-0 several times without resi as a retri pala having a resto shaman and resto druid with me. It's NOT hard finding healers if you're in a guild or active in pvp, making a solution that will stop ALL the queues with no healers isn't going to be effective.