Chipshot, don't despair Get creative. When there is little grass it is very dificult to use that 60 degree wedge because the bottom (sole) of the club is built to "bounce" off the turf requiring grass and/or firmness of the underlying ground. Therefore we have to learn different shots. You could use less loft (7, 8 or 9 iron) and chip the ball short of the green and let the ball run more to the hole.
My favorite shot in this case is to putt the ball with one of my hybrids, usually one with at least 19 degrees of loft. This shot is easy to execute. Grip down on the club to the length of your putter. Play the ball slighty back in your stance ( just back of center and directly under your sternum). Make a normal putting stroke for the distance you are playing. The loft on the club will lift the ball slightl;y so it bounces low and rolls on top of the thin grass and one it gets to the green it will roll just like you putted it! This is great for anywhere up to thirty yards and especially this time of year when the grass is this thin or non-exisistent.
Todd Hamilton won the British Open doing this a few years back. And those condidtions in Great Britain in July are alot like what we face early in the golf season here.
Good luck with it. I KNOW you will like the results.