Legendary crankbait master David Fritts doesn't shy away from using crankbaits around grass. When you do it properly, you can quickly fish large areas while fouling your hooks a lot less than you'd think.
Like cranking hard bottom areas, it's important to make contact with the grass. This is done by matching bait depth to the depth of the grass and adjusting rod position during the retrieve. David also discusses the importance of fishing line when cranking and the reasons he favors unconventional braid over fluorocarbon and monofilament lines.