A few years ago I was redoing some beds so potted my daylilies to relocate. Embarrassed to say, they are still in their pots.
They are easy to fertilize and to keep watered. I find if I don't move the pots, the root system will reach out into the ground.
Placing your pot in a container should be fine. Your day lilies won't bloom all summer long but the foliage will remain attractive.