Your pup could certainly give Sherlock Holmes' famous hound a run for his money, as you had no idea so much noise could come out of such a small puppy. The trouble is, what at first was quite a cute problem (a tiny puppy having a ridiculously loud bark) has now gone beyond a joke.
You've shouted at the puppy to be silent, but he stares right back, wags his tail... and then you swear barks even more loudly. Out of desperation, you gave him a chew. This did the trick all right, only now you're beginning to suspect that he starts barking in order to have you silence him with a treat.
How can such a small, cute puppy run such rings around you.... and boy are your ears ringing to the sound of his barks.
In addition, you can train the dog to be quiet, and then reward the silence. This way, being silent is a positive decision on the part of the Beagle pup, but one that he understands earns a reward. This takes not barking from being a passive activity, into the action of not-barking--which is then rewarded.