And the ship did pull respectable turns every time she went back under her cloak...
As regards the failure to use "tickling" phasers to smoke out the enemy, and then switch to lethal power levels, there are two possible opposing arguments.
1) Perhaps they did exactly that?
2) We have no evidence that it is possible to retune a phaser from "tickling" to lethal in a short period of time. Quite possibly the enemy would have slipped away long before the phasers ramped back up to lethal levels. Although in that case, Picard would do wisely to leave a certain percentage of the phaser strips at full power and on standby during the ranging.