My personal strategy has been to find a body of water not in the direction of the prevailing winds and steal a sailboat to live on for at least 2 weeks as the more radioactive isotopes decay.
If there was a risk of a nuclear war, I'd not be surprised if the UK sent some level of force down there as a 'back up'.
Besides that idle thought- there's quite a lot of materiel down there already, so unless the UK withdrew war machines to help in the global annihilation, Argentina would still face some stiff opposition.
I've been fascinated with the place since my father worked there after the war, and as a Northern Brit I'm comfortable in and like rugged, remote landscapes.
More to the point, most of the bad shit to happen after a significant nuclear exchange will hit the Northern hemisphere and wind currents being what they are will mostly keep the fallout up there. Well, here.
My father's one piece of advice, having spent a lot of time flying out to take photos of the landscape and penguin colonies and such was - "Whatever you do, never go downwind of a penguin colony". Cute little buggers stink!
I think the Falklands reached a milestone in mine clearance, wherein they believe most of them are dealt with now.
Still, 'most' implies an unnerving possibility of chance.
- ed: I realise, belatedly, that this circles back to the original conceit - staying out of the way of noxious winds :)