The throat in your Remington 700 sounds familiar as I have couple with long throats as well. What is the overall cartridge length with the Nosler BT? Curious how much difference between col and magazine box length. Sometimes rifles like a lot of bullet jump, sometimes not. Depends on the rifle...
My son uses 30-06 brass necked up to 338-06. I'd recommend annealing before necking up. Will help with longer case life in regard to the necks. Good idea to try to keep a little better track of your cases as to number of firings. Let us know how it works out for you.
Your stock looks good. Did it add much weight to the rifle?
Don't be too hard on Guy. He just did what we all do as in enable others to spend their money:D