It will have to be a hand crank Diesel to be completely nuke proof, even simple electronics/wiring will still short out from EMP.
Food, water, Shelter = (tent, sleeping bag), Something to Carry these items in, a SURifle, Ammo, First Aid kit, Water purification, Canteen, Gas Mask, plastic waterproof poncho, a Good light weight knife, Spoon, Matches/Magnesium stick, propane/fuel stove, lantern, Ballistic protection, good boots, Salt tablets, rope/string, Metal pot,
also...pen and paper, local topographical maps, a good compass, some tin foil, zip lock bags, small 9 volt radio, mole skin and talc for blisters, hat, gloves, wool blanket or insulite pad, insect repellant, small plastic shovel, Toilet paper in a sealed plastic bag - good for starting fires as well as wiping, Swiss army knife, metal mirror, wind up watch,
extras - vitamins, any medications, more ammo, fishing line, treble hooks, floating bait, you don't need a pole - as a canteen makes for a good hand line caster and spool, can opener, binoculars, small hand towel, machete, portable wet stone,