If they were store bought eggs, I would dump them.
Fresh from the farm, they are probably still good. Before refrigeration eggs were stored in a basket on the counter of the local general store.
Oh, go for it; a big scrambler, but hide it with old stinky cheese. Compliments will adore you on your delicious aged egg and cheese dish, and no one will be the wiser, or sicker.
Salmonella is not fun – even if they are not floaters as @FluffyChicken says, if they did contain salmonella, this would have grown during the 4 hours in the heat. I don’t know how much eggs cost but even if they were $100 EACH it wouldn’t be worth getting sick from them. Here are some ideas what to do with them, apart from putting them into your compost heap
I’d make scrambled eggs but cook them a little more than usual. If they tasted fine I’d have another and wait a day.
Try making egg drop soup or hard boiled eggs.
I would eat them. Do the float test like @FluffyChicken said. My kids are aghast at how I cut the mold off and eat things after the expire date. Bah, I say.
@faye I cut the mould off cheese and eat what’s inside. Cheese is basically made of mould anyway, and under the “rind” it’s fine. Matures nicely too, if you keep it longer than it says.