Swap out the fuel filter. You may even have to do it more than once assuming it keeps stalling. One answer is you have crud in your tank. When you're pulling that long hill that crud moves around.
Regardless, a fuel filter is cheap and simple to do and good preventive maintenance even if it isn't the problem. On the other end is the air filter which isn't easy to change on most F53. They seem to get overlooked often because of the PITA factor. Swap that out also so the 460 can breathe easier as it's charging up the hills.
Last cheap thing is run some FI cleaner (SeaFoam.) My 460 loves to gum up whenever it sits for awhile with ethanol gas. You may have one or more FI's that have a bad spray pattern and when it is hot it just doesn't want to ignite that pattern of gas.
Last thing might be the coil. When it is hot it has a weak spark. See if the local auto shop can test it.
All of the above is just good stuff to do regardless, and may cure your issue.
On Edit:
I now see you have a Class C, so the air filter should be easy to change unlike a Class A.