I agree with the basket muzzle over the 'funny' type, too... we had a 'funny' version for our bulldog mix, and it kept him from being able to pant, which for any short nosed dog is not a good thing. Very uncomfortable for the dog. The basket muzzles let the dog pant and take treats all safe and much more comfortable (assuming they fit well and aren't pushing on the eyes).
I'd also opt to keep the dog tied to you and not allowed any unsupervised time outside the crate for the first few days. Unsupervised time in the yard would just be continuing his un-structured behaviors... and I think structure, rules, boundaries and limitations are what he NEEDS right now. He needs a sense of purpose and belonging... and being WITH his new people more will help him find that quicker.
When working with our 'bully' bulldog rescue, we screwed big eye-bolts into some studs in the living room, and used those as tie-outs... not as safe as a crate (our other dog could still get to close to him)... but it did allow us to move away from him to a safe distance that he couldn't reach, if we needed to.
Since Tig knows you all already, I expect it will be a very quick transition for him.
He'll test the rules, I'm sure... but I'm guessing one or two "reminders" that the rules ARE the rules will be enough for him to relax into that lower position in the pack that you have in mind for him.
I'm convinced the pack dominance theory is a thing of the past, too... but that doesn't mean I threw out the pieces of the theory that worked for me. Keep reading, learning and applying what works is my mantra! (and if you find something doesn't work... try something else). I expect Denna to do what I ask her to do, when I ask her to do it - but that doesn't mean I don't appreciate her opinion (especially as regards to strangers approaching the house).