It sounds as if you are determined to get a dog from a shelter. Mostly, the best dogs go to new owners first thing on a Monday morning. (It's kindof like going to the store when they have a big sale.)
HOWEVER, **sigh**, if you won't look for a puppy locally or on the net--people sell mixed breeds, too, you know, like how I got my
other dog--this is what to look for at a shelter--does the dog respond to you inside AND outside. If the dog is distracted, they will be REALLY hard to train.
I suggest looking at people who run specific breed rescues. They are dedicated to the breed, and can assess where the dog is at training-wise. Plus, they have the time to socialize the dogs.
I have had three rescue animals, all of which turned out to be great:
1) one Puppy, whose litter was left after the animal auction house, no takers (except for me), 8 weeks old
-She is now going on two years old. She is a velcro dog who listens very well, but is a little cautious of strangers, getting better since I call her to sit when she barks and retreats. (She sits on my foot and looks up at me, every time.)
2) one kitten, showed up at dusk one evening in October STARVING
--When took him in--he ate three meals worth in one evening!--then slept it off and has never left us. He is now 2 1/2 years old, and the ONLY one of my 4 cats that is fat in the summer!
3) one horse (Arab gelding)
--I bid against the meat market for him, when he was 4 years old.
He was less-than-green-broke, but he trained in as one of, if not THE best horse I've even had. Lost him in June at 27 years old.
(Never will get over it.)
(When was the last time you bought a good horse for $145.00 ?
Guess he was my best buy, too.)
P.S. Had a friend how brought home a collie from the pound, came home from work the next day and found that the dog had destroyed her brand new couch. Probably should have crated the dog, BUT, if I leave my two dogs out, only one will do any damage--she will chew up any paper that she can find. People often RUIN dogs, then "throw them away" at their local shelter. Just food for thought, that's why I included my three examples, above.
BTW, Steve_of_sandspoultry, said rescue puppy ("Pygma") has 1/4 pittbull in her--your dog's smile reminds me of hers. (I'll try to post some pics soon.)