Jordan White should have capitalised on Laidlaw's save by putting County ahead before the interval.
A lovely cutback from James Brown set up White perfectly in the St Mirren box, but the striker could only watch his effort sail over the crossbar.
Chances were scarce but just before full-time, St Mirren substitute Mikael Mandron had a great opportunity to snatch a winner.
He received the ball in the middle of the box, chested it on to his foot, but could not direct his effort on target.
County might have made more of a late chance too when Richard Taylor gave away a free-kick right on the edge of the St Mirren box, but Ronan Hale fired right into the wall.