Nanette, considering how much rain it seems you've had, I don't blame you for not wanting to go out and dig in the mud! Plunking them hurriedly in sodden wet soil isn't going to be good for either you or the plants.
But it is best to get your daylilies in their permanent home as quick as possible. You need the planting area to drain and dry out a bit. When you do plant, mix that compost into the planting holes - it will help the soil to keep air spaces in it - when organic stuff dries out, it shrinks a bit like a sponge, leaving an air space. This is critical for plant roots not to rot.
Here's what I'd do to hold the plants - just put them all in one pot with the leaves out the top, and a little potting soil around the roots to keep them moist and dark. Water them and put them somewhere shady outside until the ground is workable again. If you let them get started growing in pots, then plant them out in a week or a month (who knows, right?) they will suffer a second transplant shock. Daylilies are pretty forgiving, but you want to give them the best start you can.