A 100-400 will give you a lot of versatility and would be my choice. (though I have shot them using a 300mm fixed)

They may or may not let you bring in the tripod or the monopod (check ahead of time). I typically hand-hold for the air shows here and there's generally plenty of light.

Mid field is a good place to shoot from as that's generally where the action is. Either end of the runways (approach or departure) can be good for some of the unusual shots.

Static displays also offer some interesting photo ops too, especially candids of the people around them. (It helps to have someone save your vantage point along the flight line while you go and take in the static displays)

Have fun - looking forward to seeing the results.

(My next scheduled airshow will be in Nov in Vegas - though I'm thinking about the balloon classic that will be held in Goodyear AZ, Oct this year)

Tim