The hi limit screw, IME, won't get you far enough in for a decent compromise. One gear, maybe two. When this happened to me a few years ago I used the limit screw and struggled home on a rather high geared two speed. Fortunately it was a flat ride.
But I've read of a really cunning way: Take the cable out, seat the nipple in the cable stop on the frame and feed the remaining cable into the mech. This should enable you to shove the derailleur to a mid-cassette position and tighten down the cable grip screw thingy. And also have a load of extra cable hanging out the back of your mech which you will have to coil up. There may even be a fine tuning barrel adjuster there to twiddle to get it perfect. (I've never actually done this, just read about it).