It's a double edged sword here. Most often the animals sold at the farmers market are in poor health which doesn't show up until someone has purchased it and fallen in love, then the true heartache begins.
Now TriCounty has the legal responsibility to hold these puppies for whatever legal actions may follow from this seizure and unfortunately that means they have no choice but to move the other animals out quicker.
Sadly the options are limited. Euthanizing owner surrenders that may normally take a little longer to get adopted, euthanizing the stray dog when their hold time is up. The prefered methods would of course be by adoptions, owner reclamations, or the numerous rescues coming in and trying to take what they have the capacity for.
This is where all the rescues need the publics help, the more foster homes, the more dogs that can and will be saved. The dogs that rescues pull, are temperment tested and the rescue normally knows if the dog is good with other dogs or cats, if it's an owner surrender they usually have the added knowledge of it's previous living situation (kids, house/crate trained) and the "whys" of it being surrendered. Most times when you agree to foster a dog or cat, you will probably only have it from 1 week to 3 weeks, these animals are usually pretty easy to get adopted once it's in a family environment and exposed to the public via adoption events or even Petfinder.
There isn't any telling right now what the outcome of this case is going to be, if these puppies will eventually be released to rescue or actually go back to whomever they were seized from. It's just too early to tell.
TriCounty Animal Shelter is doing the best they can. They try very hard to hold the adoptable animals as long as they possibly can to give them every chance to be adopted into a loving home. They spend countless hours calling the various local rescues along with breed specific rescues to move the dogs and cats in their facility. The also have the task of dealing with John Q. Public who is dropping their dog off for sometimes the most heartless reasons (sometimes it's truly no other choice), and the John Q. Public Jr., who has nothing else to do in their spare time but come look at the animals with no intention of actually adopting, yet the staff still is supposed to deal with them in a professional manner.
Sorry this is long winded - TriCounty is in a tough position and truly needs the publics support in this.
If you can't adopt right now but can foster that is probably the best support anyone can give.