As far as I know, no you can't turn the stone off. What i'd suggest is getting a stone with no levelling benefit, like the serpent stone, steed, or the lord.
I avoided activating any stone in the beginning and I don't regret it. As the OP said, leveling up is already too fast as it is. It's entirely possible: just walk past the guy and head towards Riverwood. The script will go on regardless.
As for the question, I'm afraid it's not possible. A good solution to the problem would be to activate another Stone which doesn't interfere with leveling up.