I don't know about the three towns in Crook. Maybe someone else can elaborate, but out here in the county you have to take your trash to the nearest dump. There's one in Sundance. One in Belle Fourche (my favorite). I would guess there's one in Hulett and Moorcroft.
Recycling? You're showing your east coast accent!
Gladly we don't have those nanny state container taxes (recycling fees) added to every darn container we buy. If YOU want to save them up and take them to maybe Cheyenne, then fine, otherwise they're your purchased property to do with as you see fit.
In fact, if you see a 20oz bottle of soda at the convenience store for $1.89, you know what you actually pay at the register? ONE DOLLAR AND EIGHTY-NINE CENTS! Amazing, huh? Yeah, no tax on food including that evil soda that other "food taxless" states tax you on.
I do sometimes see a set of containers in the Gillette WM parking lot.
The dumps here are CHEAP, especially BF (above). I think there's a minimum of $2 or so for less than 150 lbs. The most we've ever paid is maybe $5 for a few hundred pounds of drywall scraps and stuff like that. Back in CA, it cost something like $40 to get rid of a water heater at the dump! In NV, the local dump was FREE to induce folks not to dump in the desert (the idiots still dumped stuff out there especially at "shooting sites" where you'd find a huge collection of total junk masquerading as targets).
Mac