You mentioned the rate of roll - I found a fair bit of rudder to be the most effective way of turning quickly. .
From the Boeing 737 Flight Crew Training Manual on unusual attitude recovery:
" Finally, if normal pitch control then roll control is ineffective careful rudder input in the direction of the desired roll may be required to induce a rolling maneuver. Only a small amount of rudder is needed. Too much rudder applied too quickly or held too long may result in loss of lateral and directional control. Because of low energy condition, pilots should exercise caution when applying rudder."
Sounds like trying to turn the Fletcher..
