Mine took one week to go from GL to Battle Creek , & then another 2 weeks to get the paid invoice email. The SF97 took about 4 weeks before I got a title in the mail.
The first EUC takes the longest, Make sure your GL registered phone number is a land line, they use this to verify your location. Also will need to fill out an export letter, which can be found by searching Steel Soldiers. Make sure your DL copy you send in is in COLOR & full page sized. I took a digital pic of mine. Send everything as a JPG attachment to GL & you should be good to go.
Stay on top of things & make sure your documents are recieved by the deadline by using live chat & calling. The mistakes are usually theirs, but you are the one that gets fined if you run over the 7 days.
And yes, they will take their money right away even though you can't pick it up.
Edited to add- The export letter form can be found by searching "example export letter" on Steel Soldiers, theres a post with a Word document & you will have to register to see it & all other pics on the site. GL wont tell you about this requirement until after you send documents. Send it with your packet & save time.