I'll try to get a picture. I'm bad about that. We're using half of a tall coffee table braced against the back side. It's just tall enough for a nest box or 2 under it, and short enough for the dog house/coop to go on top.
There's research suggesting the semen can be viable for up to 30 days or more, but also that once she's being bred to a new rooster, that can shorten the 'old' stuffs lifespan to from 0 to 10 days. I'm going to run my HRIR separate from any other roosters, and when I breed my Icees, I won't be collecting eggs to hatch for at least a week. I probably have the links somewhere, but it just took some internet noodling to find. Also, sounds like if you want maximum hatchability of the fertilized eggs, successful mating should occur at least every three days.
I'd be drowning those crickets, I'm sure.
Since rabbits pee and poop in the same place, (though they can be trained to 'go' in one spot, like a cat) not sure how you'd avoid it. Can't be any worse than the chicken poop, at least urine is sterile. It does stink, but in our case, would be going straight into deep litter... If it gets bad, might invest in some of that horse stall stuff with zeolites in it.
Anytime, Lord, any time.

But in the meantime, gotta work for the best we can. Part of the calling.