Tony,
You seem to assume that supplies can be used for one thing only.
Stockpiled food and temporary shelter are multi-purpose items.
In terms of 'unlimited resources', the Project has fusion power and cryotubes.
Depending on whether or not you follow canon slavishly, they also have
weapons of mass destruction. The Project must be extremely well resourced to have such these!
How much gear is too much for a given team?
As I stated earlier, some decision about team endurance needs to be made with regard to consumables (food, other consumables e.g. ammo, spare parts). Three months seems a reasonable minimum. The camp in a box cache
may end up being used by the team in the worst case.
Thinking more broadly, what is the Project set up to do? What does
'recovery' mean?
From Quarantelli 1999:
http://www.udel.edu/DRC/preliminary/pp286.pdf
Reconstruction (rebuild infrastructure)
Restoration (of physical and social environment)
Rehabilitation (of the survivors)
Restitution (governance rather than settling claims of loss in the Morrow setting!)
The Project's activity has to cover all these options to some extent.
I do not agree with the 'disaster relief is mission creep' concept.
Rob