House training is often an issue with beagles as they can be stubborn but they can learn it for sure. The excessive water intake could be an issue. Have you mentioned this to the vet? Or it could just be from the dry winter house. Yes, beagles LOVE to eat, you just have to limit it.
As for potty training....try not to scold the inside accidents. What I did with Molly was if she had an accident I would say "pp outside", soak up a bit of the pee and bring her out and say "pp outside". Definately reward the outside potties with praise and treats. If you scold the inside potty they don't really understand that you are mad that they went in the house, they think you are mad because they pottied. If you still have trouble, they make a potty training spray that you can spritz in your yard.
As for potty training....try not to scold the inside accidents. What I did with Molly was if she had an accident I would say "pp outside", soak up a bit of the pee and bring her out and say "pp outside". Definately reward the outside potties with praise and treats. If you scold the inside potty they don't really understand that you are mad that they went in the house, they think you are mad because they pottied. If you still have trouble, they make a potty training spray that you can spritz in your yard.