If they're young and 'sleeping' during the middle of the day, that usually isn't a good sign. I've found that when I have sick quail, they'll go somewhere in the corner, or inside their house and just lie down, and close their eyes. So I believe somethings up. Seeing that they're untamed, I'd suggest to keep observing them often because handling won't be very easy and it'll obviously stress them out. Take note of any abnormal activities (e.g. mucus from nose, head shaking, lethargic, etc.) and research or ask around BYC for advice.
Annnnd the poop on the foot. I hate it when that happens, especially when the quail is fidgety and refuses to be held for long periods of time.
I suggest getting a container (like a cat litter tray [no don't use a used cat litter tray hehe]), filling it with warm water and putting the male in the container. The water should only be covering the poop on his foot, and should not be touching his body because quail can't swim and don't do well when wet.
Leave him there for a while (keep an eye on him in case he has ideas of escaping or flying away) and the poop should eventually soften up and break off itself. How long depends on how hard and big the poop is. Keep him near his female buddy/the place they live in because she'll want to know what's happening to her buddy, and he wouldn't want to be separated for too long.
Most cases, the poop won't come off easily and may require a bit of persuasion. I've had to use pliers to break apart poop on my japanese quail. I can't imagine what it'd be like with button quail, but hopefully it should break apart itself in the water.
Another way to remove poop is suggested here:
For future references, use aspen or pine shavings as bedding (the poop falls to the bottom) and clean the cage regularly to make sure they don't get poop on their feet again. Have fun!