Hello,
Its hard to say which would be best and it is likley to depend on what you use the beast for and what you carry. Option 1 looks most secure so if its tools and recovery gear it may be a winner, but also less flexable (in both senses of thde word)
My advice is to build a prototype in plywood. as you will cut it quicker and save wasting your chequreplate.
You can try out any/all designs and it will also show you if you have unforseen clearance problems or issues with where to fix/support the top.
Yo may find that you ave a problem with rigidity.
Alos beware that hinges dont allways offer tue 180deg folding, especiallly once fixed to a surface. For example if the hinge is on the inside of the lid, when you fold it open the chequre plare will prevent it folding flat so this may influence how you use (and design) the thing.
Good luck, measure twice, cut once etc....