Gardening Question

Looking at those photos reminds me... my AC drips in the middle of the area I've been preparing, and has been creating quite a puddle. Adding peat and compost should help some with the drainage, but it's definitely going to be a wet spot during heat waves. Does anyone have any experience with wet spots in zone 3 gardens that get the morning sun, and then are in shade the rest of the day? Do you think a day lily will survive that? Do you have better recommendations? (Even better, do you live in the city, and are willing to split off some of yours for my garden?)