Who said survival is the goal?
How do I best resist Morgoth?Don't think for a second you can possibly "get inside and cause trouble"; that's more quixotic than the seven sons of Feanor! You're Noldoran. Craft armaments. Stay out of the intrigues of political infighting. Don't get attracted by some femme fatale Elf-maiden. Have nothing to do with the children of Hurin.
How friendly should I be with Thingol? Don't bother. He doesn't like Noldorans and he's doomed anyway.
[b]How far should I co-operate with my valiant, elficidal jewel-seeking relatives?]/b]Steer clear of them.
What sort of site would be good for my kingdom?Go to Eregion and beat Celebrimbor to his own game. That way you just might meet up with Galadriel and be in Lorien instead of Celeborn at the end of the Third Age. Till the soil. Husband the beasts. Befriend the Trees. Make friends with every living thing you can, including the Gold-, Silver-, Blue-, Rasp- and whatever else-berrys and Tom Bomba-whatevers littered across the natural lands and rivers. Can't hurt, though it may not help a lot, and sure to provide a lot of native wisdom.
What do I do about Dwarves and Men?Trade but that's it.
What sort of culture am I ideally aiming for?Noldoran craft married to native Sindarin nature-loving. Sow the seeds of health in the land, the stronger to resist the coming onset of such harrowings as will arise from the Witch King and Sauron.