Live rock does make things much easier, plus it looks good. In my opinion, a skimmer isn't necessary for a tank of that size, provided you have enough live rock. Just go slow with your stocking, and check your levels regularly.
If you want to add a skimmer later, that's fine. But in my opinion, ample live rock, a deep sand bed, and plenty of current would be fine for a 37 gallon. Just don't be tempted to overstock, or you might be sorry you didn't have a skimmer.
You can use your biowheel filter, but with saltwater the wheel will eventually clog up, and just increase your nitrates. Remove the wheel and media, and just use the filter for water circulation and surface agitation.