I’ve seen guys take a plastic tote, line the bottom with a Styrofoam sheet, place the model on it, then stick toothpicks up against it to keep it in place.
I have two large clear plastic boxes with lids from Target. I use a thick towel as a liner to keep the models from sliding. You can also use some pieces of foam strip in between the models for additional protection if they are too close, otherwise give them at least 1-2" separation.
Drive carefully and avoid bumps.
This is your first show so check out the vendor section for some fantastic sales and remember to wheel and deal with the prices.
I also use those plastic totes. I save almost all the bubble wrap I get, put that down on bottom. I have had fewer problems than when I used styrofoam.
For years I have used the plastic totes with a piece of 1/2" blue foam wall board cut to fit the bottom. You can get it at Lowes or Home Depot. It’s a lot stronger than regular styrofoam and holds the Kokeshi Toothpicks that I use to hold the models in place. The toothpicks are stronger than regular ones and I picked them up for $1 at Cracker Barrel. I have never had a model come loose during trips to shows. Most of our trips are around 2 hours. Hope this helps.
Gotta disagree about the packing peanuts. You will be pretty-much guaranteed to strip off small attached details (landing gear, stretched sprue antennas, etc.) Peanuts will cushion larger, smooth subjects but the subtle vibration of the model in the box as you drive along does the damage.
I use the sheet foam method using some blue insulation sheet from Lowes/Home Depot. Make cradles to support the structure (wings, fuselage) to keep the model off of the landing gear. Then pin in place with more blocks of foam held by toothoicks
I’ve never had small detail parts stripped off my kits using packing peanuts. Maybe I’m just lucky that I know how to pack them without compromising the kit.
That’s the way we do it. Looks great. Looks like they are locked down in all directions. We usually take a pic of the set-up too in case we forget which one went where for the return trip.[;)] You know how us older guys get.