There is no way you can compete without monks on even teams. > 1000 heal every 8s on 2 or more enemy dg, how do you want to beat that.
since you're implying bishops + another type of monk (unless you just mean bishops with all of them being over 7000 hp), we can assume that the da, reg, and ub will be around lvls 7-10 and you have to have 2 generals. If you got bishops earlier than normal, they can just wait out until 10. If you got bishops around the time most people get bishops... they'll be lvl 10. So...
Reg - 3 lvl 4 mines = 135 hps ae. or1350 dmg ae + 30% ae slow to ensure they won't escape (and the lower level priests are dead.. back to bishops who are probably healing themselves up first)
UB - ooze lvl 4 - 140 hps ae. or 1400 ae every 10 seconds (the priests who didn't heal themselves before are dead now)
spit lvl 4 - 165 hps. or 1650 every 10 seconds
DA - Warp strike 4 - 100 hps. or 700 every 7 seconds
Spine attack 4 - ~89 hps. 1150 every 13 seconds (ya the ability says 15, but it never even shows 14 and it's a .3 sec cast)
So.. 1000 heal every 8 seconds = 125 hps. combine just abilities alone, and the target will lose 504 hps (with bishop healing). Now factor in melee attacks at level 10 and the average armor people have... I'd say all three will still each hit about 150 every second. That's -954 hps even with bishops and another type of monk that have to survive 3 mines and ooze (of course, you can resummon, but that takes time.. allowing them to stay longer)
954 hps means someone who has 5000 hp is dead in a little over 5 seconds. Or in burst terms, 2700+1150+700 = 4550 dmg from 2 people only in a 2 second span (p.s. you CAN guarantee they hit all 6 mines when you use DA... just warp them onto them). + another 3 mines = 5900 dmg in the time it takes to swap someone and cast another set of mines (they cant run away fast enough since you're already sitting there and they're super slowed from mines). 5900 from only 2 ppl! And that's if you get into 15 yards of them.. they dont have to take any dmg at all