> Yep, Mamabas is your man, whoops lady ; )

Weeeel. My only first hand experience has been with the 'proper' Basset (others will disagree with that one) so this is a biased opinion right there. For me, appealing as the PBGV and the taller GBGV is I feel they are more akin to a Terrier, than a Hound. Again others may disagree and that relates to the P rather than the G too. Likewise the Fauve de Bretagne who visually for me isn't quite as appealing. I'd not be totally put off by the coat of the Grif. but yes, it will need more care than the Basset who really just needs a daily brushing much as some do shed a lot. I don't know whether it's the same with Grifs. but some lines of Bassets have skin problems - malazessia.
http://www.peteducation.com/article.cfm?c=2+2102&aid=321 I don't know if there's any foundation with this, but I find the bicolours (lemon or red/whites) tend to be more affected with this than the tricolours.
Makes me laugh actually because when we came to the second last of our bloodline, I started looking around for something a bit taller and definitely lighter (weight - my poor back over 40+ years now) and did consider the Cocker but felt it was perhaps too lively and noisy for me. From those living locally. So went for a Whippet. But that's another story. Basically the Basset should get on with other dogs - should but it isn't always the case. I'd go for a male if you have a female, bearing in mind she must be spayed. Even given how difficult it is to mate Bassets!! He will drive you mad if he's anywhere around a bitch in season. It's ALL nose with the breed.
Yes, he should be able to last as long as your Cocker does, re exercise, but he won't be as 'manic' and certainly must not be through to a year. This breed, with it's heavy bone, has to be taken very slowly up to 6 months - just ambling around and no organised (organised - Bassets?) walking. After 6 months you gradually build up how much exercise you give him until by a year he should still be sound and able to take as much, or as little exercise as you are prepared to give him. No on and particularly off furniture/stairs. If you have steps you may have to put ramps in place at first - we used a car ramp for the couple of steep steps we have outside for our 4 month buy in puppy. He was big with huge bone and going down the steps could have caused serious damage. And you will have to watch is a young puppy tries to keep up with an adult fast companion. This could lead to damage/injury.
Stubborn - to a degree but when you get stubborn, you change direction re 'training'. They are not stupid but you need loads of patience and to exercise applied psychology - make him think what you want is their idea and if you do that, you'll be fine.
There are some problems within the breed - eyes (glaucoma with those with incorrect drainage angles - we test for goniodisgenesis). There is epilepsy in the breed but it's not rife. Skin conditions as above. But if anything, we had most of our problems to do with digestion. Hounds do well on a plain diet, one that's based on meat or fish, not cereal based. Ears and nails must be attended to weekly, especially ears with puppies (you'll know about that with Cockers). There are too many BYBs, mixing this wonderful hound with other breeds at the moment - PLEASE AVOID. They look gorgeous, but as with any mix breeding in my humble opinion, this is a big mistake. Contact the Breed Club and ask for the names of known reputable breeders - but also do your homework ... go visit but try to concentrate on the finished article - Basset puppies don't need much selling (just as is the case I imagine, with the Cocker puppy).
There are a few good books on the Breed - Marianne Nixon wrote one more recently, and George Johnson has one no Basset owner should be without, for history if nothing else. Good luck - I could write a book on the subject too .... but enough is enough for here.

Add - it might be worth contacting a PBGV breeder at least, again via the Breed Club, and taking a look.