Congrats! I don't do the shut down, just start off the relationship on the right foot. Highly recommend having him tethered to you and clearly showing him the rules and expectations right off the bat. No babying or slack just because he is a rescue. Fosters earn their meals the first week or two as well in my house.
You have a clean slate with this dog and the opportunity to make the relationship what you want it to be. Have fun!