[Lightning&Stomps]

As I'm sure you've read, bassets can be very difficult to housetrain. And consistency is key to housetraining. I'm single, and perhaps this is why: I don't understand why your husband can't take the dog out on schedule, since he's around more. Barring that, you could try crating the dog during the times he's most likely to pee in the house. You could even put the crate in the bedroom, for those times when you leave but your husband isn't up yet, so the pup won't feel so lonely.

P.S. This assumes there is nothing physically wrong with the dog.

 

[Lightning&Stomps]

I love my dog doors. I have an electronic fence, so no barrier to keep other animals out of my yard, but so far the only things that have come in it other than my dogs have been a gigantic dog from the neighborhood, a little Jack Russell that was in love with Lightning, and my housesitter, who kept somehow locking herself out of my house.

 

[Lightning&Stomps]

I got the biggest dog door, since bassets are big dogs on little legs. And my housesitter is very small. Frankly, the neighbor's dog that came in weighs more than my housesitter! I live way out in the country, with lots of big dogs around (and dogs that sound big, like mine), so I have never worried about people coming in the dog door. It would be a lot easier for them to break the glass in the back door.