Welcome! Jackson is ADORABLE!!! There are certainly Havs that fit your wish list... my Kodi is one. (but you can't have him
) He is very athletic, LOVES long walks in the woods and getting dirty. You can see from his picture with my signature that I keep him in full coat, and I still allow him to be an active dog.
There are a couple of important things to remember if you want a Hav, whant them to be an active out-doorsy type dog, and also want them to keep their hair. First is you have to find a breeder who breeds Havs with the straighter, silky coat type. Some have curlier or cottony coats, and while these are beautiful, they are a LOT more work. Even with a dog with a silky coat, you will still have to be willing to groom them frequently, but unless he gets himself really gross, I can comb Kodi out in less than 10 minutes. If he's turned himself into a mud pie (and he does!) It usually means at least rinsing him off and a more thorough comb-out after he's dry. The ONLY reason I can do this is because of his silky coat.
But many people who have Havanese keep them in puppy cuts, no matter what coat type they have, and there is no reason not to do this unless, like me, you just love the look of the long coat. As Lucille said, you will probably still have to comb through a Hav, even with a puppy cut, a few times per week, but it's not a huge big deal.
Kodi loves to play at the edges of the water, and will swim in the pool with us, but he's not a huge fan of going in deeper than he can stand on his own. He only wants to be in if we are in with him. But he LOVE everyone he meets, human (adult or child) dog or other animal. He is very smart and loves to work, but also loves to snuggle and relax too. (usually on hi back, with all 4 furry paws in the air!<g>)
The other breeds you mentioned are all nice breeds, but terriers in general (I'm sure there are exceptions) have a bit too much attitude for me. An while I love Papillons, the ones I know are pretty high-drive dogs... that's what makes them great little agility dogs! A Hav was a perfect fit for us!