we have used 83 up to northern NE many times. It's two lane but not a problem. Traffic thins out noticeably after you get north of Garden City, KS. Since we are users of rest stops and walmarts, I can't tell you much about rv parks along the way, but lots of the little towns have a city park you can park at..no hookups.
There are a couple city/county rv parks we use..one about 20 miles south of Shamrock TX and one in Canadian TX just before you cross the river on the north side of town.
will warn you about staying overnight at Thedford NE. The trains runs every thirty minutes all day and all night and they blow their horns twice coming through the little town.
if memory serves me right, there is a Casino just north of the SD state line..you can overnight there.