I'm going to spending some time in Nome (about 8 hours, but could change it to 12 hours) this month. Is there anything I really should do? I'm trying not to spend any money, but will if it's worth it.

So far my plan is:
Walk to the visitor center.
Walk around the beach.
Walk around town.
Walk to a gold mine?

Is there a place I could rent a bike?

I know of a couple of tours, would any of them be recommended? I'll probably be by myself. Thanks!