WY, yes you can buy points and you don't have to be a resident. You can also put in and draw your second choice without losing your preference points. So you can shoot for the stars with your first choice and draw an easier unit with your second choice and still build points. You don't have to have a resident or guide in WY unless you are planning on hunting in a wilderness area.
ID, yes you can buy an OTC and hunt both whitetails and muleys. Some units are draw only, but there are quite a few areas open for OTC tags.