What about...
HQ Persephone, 3RK, Underlord, Seraphim Lucifer.
Thats base HP of 15320 RCV of 1300
HP: 45960
RCV: 3900 (ouch)
Your RCV would still be way too low to run this.
The MLD 4RK Luci team would be your best bet...
As for the first three rounds being trickier... I would say only the first round would be tricky...
Using your Rainbow Keepers as baseline...
The problem being... you would need to be VERY precise on your damage... if you make a 4gem dark 4combo ... you end up killing at least 2 ninjas... but without knowing exact stats, it would be difficult to determine if you kill a third or end up getting bound...
As for Goemon... again, counting for worst case scenario... (entire time during enrage phase) you would need to heal 258230 HP in 25 turns. Thats... 10330HP per turn... to hit that healing requirement you would need to match 5 combos per turn... but matching 5 combos per turn does not lead to enough heart generation by itself...
Luckily the enrage phase is not the entire fight...
The other 75% of the Goemon fight you would need to heal an average of 6886 which is a 3heart 4combo. (giving you an extra 2400HP). Now obviously just making a 4 combo does not generate enough hearts... but thats why you have extra HP and extra healing. This gives you more time to live.
I would say this is your best suited team.
edit: grats cutlery, 0 stoned while i was typing