Bear Shaman (specced for Natures Revenge and using Claws of Stone(AoC Gold)).
Nature's Wrath – 3*384*(6.67/10) = 768 (20 swings/min est.).
Nature's Revenge – 755 (1 proc est.).
Man.: Regrowth – 60*30/2 = 900.
Battle Roar – 301.5.
Claws of Stone – 42 dmg/hit*30hits/min = 1260 (est. 2 second attack rate).
Ursine Roar – 15% dmg reduct.*10/40 = 3.75% reduction.
Ursine Brawl II+III – 8% miss*10/25 = 3.2 % evade.
Deft renewal – 5% evade*10/15 = 3.33 % evade.
Total: 3983.5 health/minute, 3.75% reduction, 6.53% evade.

Priest of Mitra (specced Divinity).
Lance of Mitra – 12*323 = 3876.
Blessing of Mitra – 20% dmg reduct.*1/2 = 10% reduction.
Avert thy eyes – 12.2% miss*30/60 = 6.1 % evade.
Total: 3786 health/minute, 10% reduction, 6.1% evade.

-Tempest of Set
Vital Shock – 338.
Faithful of Set – < 3*259 = <777 (word on the street is 5 procs is very hard to get in game- (AOC powerleveling).
Total: <1115 health/minute.

Let's factor in the cone/HoT/big heals. Suppose that during the hypothetical minute, each has a AOC cone running for a third of the time, each pops one big heal, and all three have a HoT running (suppose they are on different teams). That adds an extra (384+192*20) + (64*60) + 1475 = 9377 to each, bringing the healing totals to:
BS: 13360.5.
PoM: 13163.
ToS: 10492 (max).