Leave it for 2 weeks, then there won't be room for the hens.
Just kidding. Unpleasant though it may be, scoop it out with your hands (one hand, keep the other clean) when you get the eggs.
To keep it from happening - it's probably because they're sleeping in the nest boxes, right? You can try booting them out of the boxes at night or putting up a barricade but that's a real nuisance and has not worked well here. Make sure the nesting boxes don't look like a better sleeping place than the roosts (think like a chicken).
The only thing that has worked for me - it only worked once but I've only done it once and I cannot explain it - was to put a layer of dirt in the bottom of the nesting boxes under the thin layer of hay we use.
"Dirt" here in N. Florida means very loose dry sandy stuff that runs through your fingers. I used it because I thought it would make it easier to clean the boxes and protect the bottoms of the boxes. We went from nesting boxes averaging about half occupied at night to almost none and that lasted for months although it's time to try it again now. It was not just because of having cleaned them out, because we do that relatively often and this was the only change.
Maybe someone else has a better idea but those are my 2 suggestions ( 1: bare hands and 2: dirt).