There are beagle rescues. Just be aware that beagles can be hard work. I have a beagle and he is the greatest dog I have ever owned. Truly makes my heart to just think about him (he's sleeping in front of me as I type this), but he was a challenged until he was about 18mo and I know some people with adult beagles who still cause them problems.
Mine has never tried to escape the backyard, which seems to put him in the minority of beagles. Secure fencing is a must, but even then, it seems that many attempt to dig underneath, and some even manage to climb the fences.
They also have terrible separation anxiety, generally. Our beagle could never be on his own. We have a second dog purely because he'll howl the house down if he's here on his own for even 5 minutes. He's absolutely fine with another dog. But they are very much pack-oriented still; many dogs are fine on their own for periods of time, but beagles tend not to cope.
My beagle is now 6 and an absolute dream. I honestly don't know if I could ever own another because I'd compare the new one to him all the time (honestly... no other dog will probably ever shape up when compared to him, in my eyes). He's loving, and adorable. He loves other dogs, he's incredibly gentle with children, he's not a picky eater, he lives for his walks (on-lead! unless at the dog park), he can sit, shake, get in his bed and go outside on command etc. They aren't obedience dogs, so persistence and consistency is key when training them, but they are trainable and are easy when they're getting adequate attention and stimulation. Mine sleeps all day and night now, with the exception of his walks and a couple of rumbles during the day with our other dog (6yo border collie).
To be honest, we previously had a Jack Russell and she was far more challenging for far longer than our beagle. And she was nowhere near as friendly. Our easiest dog was a mutt rescue. He was probably a mix of terrier and kelpie. The funniest looking little thing; he was absolutely incredible. I always suggest keeping an open mind when you go to a rescue because you'll never know which dog might draw you in the most, or which might be the most appropriate.