Those teams are tricky to deal with. At higher power levels (80 or 100+) there was a really big discussion somewhere on the forum. If its lower power level, you need to nuke them during 2 turns. For example: You are using fire lineup: iruka, main, jiraya, danzo. At the very end of turn 2, you use jiraya on the target with least hp AFTER all standard attack heals are used. This way, if your opponent uses heal mysteries, at least some of the hp will be missing due to ignition. at the start of 3rd round, you target that character once again and pray he dies. Repeat it then at the end of round 4 and start of round 5 on another one. You should get the idea.

this 2 round nuke is overall strategy for any team with at least 2 strong combo-starting mysteries (so no, gnw1010 isnt good) when yo dont have top tier ninjas.

$$$$ version- susano itachi, masked man, jonin minato, wind main with reset. At the end of turn1 chaos 1, immobile 2nd ninja. At the start of turn 2, chaos 3rd healer, nuke with minato and reset.

another option is running same immortal and just outsmart enemy with healing so you have more hp at the end of r10.

Unfortunately, this team indeed is really difficult to deal with.