Shipping 200 Laptops Where/How Much??

Nobody can really answer your question because it depends on the total weight including the boxes. I have no idea how much your 200 laptops weigh, because there are too many variables. And saying you have about 100 pounds of motherboards is too vague to go by. You need to weigh them up on a decent scale (and not one of those cheap Weighmax scales) and then contact your buyer to see if they offer shipping services, which will be deducted from the payout.

This is the scale I use: CAS PB-Series Portable Platform and Bench Legal for Trade Scales

It's not cheap, but since I purchase a lot of stuff by weight I want to make sure the seller is getting a fair shake, plus I have more confidence in how much weight I have before heading off to the yard or selling to my escrap buyer.