Need help! 72 c10 keeps dying

[britski]

I have a 1972 Chevy C10, 350 2wd.
Recently it starts up fine but when I get around 2 miles down the road it will die. After trying to start it a couple it times it will barely turn over almost like the battery is dead but it hasn't been turned over enough to drain the battery. After I leave it for 45 minutes to 1 hour it will start back up no problem. It has done this three times and it dies at about the exact same distance from my house each time.
When it dies it immediately does so. No sputtering or misfiring. Just stops.
I have a few ideas of what it may be but I need opinions before I just start blindly replacing stuff.