No more shots for my guys. They go in for an annual check up and kennel cough, which can now be done by mouth. Becca was titred last year and Tucker done this time around. I am pretty sure the rabies shot was what caused our Toller to get lymphoma. Tucker also has CUPS,which is an autoimmune disorder so his body is already reacting to itself so it doesn't need overloading from needles.
Once you do get a list of vet hospitals go and visit them and ask questions. In my experience the good ones will let you see their examining rooms, boarding area, etc., and are quite willing to answer questions (including prices).
Most FedEx's close at 7:00 pm for overnight delivery (I'm a logistics person and make a lot of shipments with FedEx). I think sending blood has different rules, you may want to check with them.