The new wheel you would want would be a single speed specific wheel or a flip-flop hub. It would be designed for a single freewheel and/or a fixed cog. Dishing would be all set. There might be a little fiddling of axle spacers to get your chainline right (lined up with your chainring). You want that to be at least within 2 mm. It's mostly straightforward to eyeball, although I like to measure. See
Sheldon on chainline (and any other bike info, for that matter - he covers all of this single speed stuff better than we do).