Be honest with yourself - if you don't know how to hunt bears, you're not the right person to run your own dog(s) on bears. More than anything, that's not fair to the dog(s). I also haven't seen much productive bear hunting being done by ONE dog - I'm sure guys do it, but in general, more hounds are better than one.

As others have mentioned, whether running hounds for bear is legal will largely depend upon where you live, or where you want to hunt.

If you're talking about an out of state hunt, most likely you'll be using an outfitter/guide, in which case, you need to pick a state and outfitter which fits your desire, whether it's stand, stalk, or hounding. I prefer stand over bait or stalk hunting for bears, as opposed to hounds. I reserve hounding for coons and big cats - just a way to spread out the types of hunts for me.

For what it's worth - the hunting tradition is not about being a loner, it's about a noble tradition passed down from one hunter to the next. You came on here and asked experienced hunters for advice - that's no different than doing the same of a real, living person local to you.