Homebirth is legal, the legalities of it are currently dependent on who you have attending your homebirth. A CNM (certified nurse midwife, with a nursing degree) is licensed to practice homebirths in Wyoming at this time. They are few and far between, so if you're in an area that uses them, definitely go for it! If you go to the facebook group Wyoming for Birth Options, I know there is atleast one mom from Casper who is in LLL and they talk about homebirth, she can probably give you names.
A CPM (certified professional midwife) who is practicing in Wyoming right now isn't licensed and could face criminal charges for practicing medicine without a license. This changes in July of 2011. However, that's not to say they don't exist..I live near the Wyoming/Utah border and I'm using a lay midwife from Utah for my homebirth in April.
Having a homebirth is a lot of work in Wyoming with such a spread out area, but it isn't impossible. Like I said, I know there's a CNM and a student midwife working with her in the casper area, which is the closest to lander that I know of.
There's two casinos in Riverton -- that's not really family friendly but we occasionally stop on the way through. ;) There's also sinks canyon where the river disappears and they have two ponds with HUGE fish the kiddos can feed. You're an hour or so from Thermopolis where they have hot springs with water slides and the river is pretty calm up there that you can float it toward the end of the summer on tubes. Riverton is also close to South Pass, so if you like camping and outdoorsy stuff, it's south of Lander.