I know of some successes with this product. I don't know if you'd want to try it or not, but here's the link:
NatureCALM 24/7 Canine Calming Pheromone Collar:
Amazon.com: NatureCALM 24/7 Canine Calming...
It's a product that looks similar to a flea collar but gives off pheromones mimicing what mommy dog does to say everything's okay. I don't think I would put it on the dog...I think I would put a piece of it in my pocket or rub it on my hands before I reached for or touched him....and I think I'd rub it on the back of my hand so I could give treats without worrying about transferring it to the treat itself. I'd wear a piece of it whenever I'm around him and keep the rest in an airtight package. If I was holding him near my chest, I'd put the piece in a shirt pocket so he could smell it and it would seem like it was coming from me. It might be worth a shot considering what you are up against with Jake...to help get him over his fear.
There are also some calming pheromone sprays which you may be able to get locally as well as at these links:
D.A.P. Dog Appeasing Pheromone Spray:
Amazon.com: D.A.P. Dog Appeasing Pheromone Spray...
Comfort ZoneŽ Spray:
Comfort Zone Spray for Dogs | DrsFosterSmith.com
You can spray bedding and other areas to help de-stress dogs with these...even spray a cotton ball to put in a pocket.
They make other pheromone sprays for other things...like urination cessation, so before buying a pheromone spray, read what it is supposed to do for your dog to avoid getting a 'wrong' product.
I do not know if any of these will help...just thought I'd pass along the information.