> I mean, we have Cold War studies of all of that
And I read much of them, and what I wrote above is a restatement of what I read.
> Your bombers can drop a single full payload, after which they will have no bases left where they can return to reload.
Yes, but even this will likely be enough to bomb biggest C3 centres, bases, stockpiles of food, ammo, and fuel. Just enough to ensure 1.) initial shock, and C3 paralysis, 2.) making sure that the adversary will be running on the leased time too.
Even at the height of cold war, each side had at most 10 strategic level stockpiles. Without them, the huge force would've ran out of supplies from regional bases in under 6 month.
> after being on the receiving end of a nuclear strike your ability to deploy and supply a massed overseas invasion is destroyed,
If you have your entire tank, and mechanised force on the go, and one leg on foreign soil already. It doesn't matter. The enemy will either have to nuke own cities captured by your force, or contest them with conventional force. Similarly, they will have to either set their equally diminished supplier on fire to deny them to invader, or have to contest them.
> All your soldiers and commanders know that if they invade and win, then their families and their homeland will die anyway.
Yes, it requires one to be a madman to accept such "victory." Especially if you already are a somehow major power, as you know that in today's free-for-all world, a third power will swoop in to claim spoils in no time. But think of it as a "counter-MAD," or "asymmetric MAD," or "madman's MAD"