This time of year, I'm throwing unweighted Senkos and Fat Ikas into pockets and around thick grass. If I'm throwing a weighted plastic, the weight is light (1/16 oz or so) so the rig sits on the grass and doesn't get stuck down in it.
The exception is a speed worm, which involves a texas rigged worm with a tail that creates a lot of movement or disturbance. Peg the weight (1/8 - 1/4 oz or so, depending how deep you want the worm swimming) and swim your bait slowly over and through the grass.
Also, this weather sucks.