I have an intranet web application where I have access to our customer
database (this application is written in Java/JSP, but I don't think
it should matter).  My problem is I want to be able to click a single
button and "post" all the customer address information and get back a
completed fedex packing slip (WITH FedEx tracking number and barcode)
and be able to print it, slap it on a package and drop it in a FedEx
mail pickup box.  I need to know the tracking number at this time, so
I can enter it back into my system.

FedEx has a bunch of API documentation and related information
(although I think it is very poorly organized), but I do not have the
ability to implement it.  A custom programming solution is way out of
my budget.