Use a search engine and look at the images that come back for "bear skull mounts". There are a lot of options.
Currently my bear skulls are just sitting on a shelf. This allows easy access to view and examine. At some point I may do something like a football display with the relevant info (ex: location, skull measurements, etc along with a photo).
Only do a rug if the hide is in great shape. If it has been rubbed bare, then do not bother. This is what I did with my grizzly and one black bear.
If the bear is truly a big one, then consider getting a life size mount done. The hide condition may come into play during the consideration. I have one very large boar that I am doing a life size on (almost done) and a second very large boar (bit shorter but more muscular) that I would have loved to have done a life size on as well; but I have to consider the wife.
Have seen hats and coats made out of pristine hide. Not sure when I'd wear them, but it is cool as hell to look at.