We have a beagle mix and we had a beagle mix when I was growing up. Those crazy beagles sure are swingers; they tend to mix a LOT.
She does NOT bark a lot. When she does, we know she means it.
As far as running....we adopted her at 3. First time we let her off the leash, she R-A-N as far and as fast as she could. But I realized later that she was just heading home. As soon as she learned that we were her home, she stayed put. We don't have a fence or anything, we just open the door and she stays in her yard. We also can and do let her off leash at the park or woods. She knows who her people are, she's not going anywhere. Very loyal.
We see that hound-dog nose in action when walking her. She never has and never will learn to heel. It is nose-to-the-ground-drag-momma-down-the-road. Was watching the Westminster dog show once and they introduced the beagle as "the nose with four legs."
One thing that I have noticed about beagles that has not been pointed out...and maybe I'm wrong....but they tend to be VERY fearful. Even our tough-as-nails mutt from my childhood would be a quivering mess in a thunderstorm. And this one...she's even afraid of the grill.
Smart...yes definitely. This one understands our conversations. I don't mean one or 2 word phrases but things like "hey, do you think we should take the dog along to my mom's?" She recognizes household patterns like if I put my sneakers on at a certain time of the day, it means a walk.
They are very very cool, loyal, vulnerable, loving dogs. We're looking for a puppy to add to the pack after our WDW trip. I can't wait!