You don't even need to do that. Uploading a 100GB to the internet will take a lot of time. Just hook up both drives and do a restore from your old drive. I just did that with my mac mini with a 240GB V200+ I picked up for $80 on CL. It was even new.
Internet recovery does not load any of your files to the cloud. All it does is download the operating system to the drive. The rest is imported from your time machine backup. You are basically saying the same thing I am; however, you don't understand how Internet Recovery works.