I don't think paying that amount is unreasonable to talk to a vet. The vet practice I go to is one of the best in my town and all three vets are usually booked full a couple weeks in advance (though they will always make time for emergencies). If I were to go just to speak to the vet I would expect to be charged something for taking time that she would otherwise be using to treat animals.
That being said I would check out both vets. It doesn't hurt to shop around.
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.