The yards where you live may be different but around here, they aren't much different than the parts store. The parts are already stripped off the cars, inventoried on computer and stored on shelving. You call, they tell if they have one and how much it costs. If they don't have it, they are often connected to a common search engine that will tell them if anyone in the area has one and can get it there for you. Let your fingers do the walking (to coin an old phrase from the yellow pages).
BTW- In your original post you were considering the possibility of ordering one online to save $80. Now $50 cheaper is no big deal? At least we have established a threshold of pain The online option would have had shipping costs on a fairly heavy piece of equipment and some time delay for shipping. I realize that is no longer a concern since you now understand what a core charge is and that it is refundable.