97 f 350 engine quiting

hi i have a 97 f350 with a 460 .when i am driving it for a short time it will go dead if i let it idle for awhile it will go dead it doesn't do it all the time it may do it several times in one day and then it may not do it any . after it goes dead i can wait a few minutes and it will crank up again .i have replaced rotor button ,distributor cap ,plugs , plug wires,coil,egr position sensor, air filters and fuel filter . i have had it put on dignostic machine and no codes show up .i have also had a pressure test run on the fuel pump it is good . any ideas or suggestions will be greatly apprciated .

What happens is you apply the throttle a *little* and crank it?

no i have to let it set for awhile before it will crank about 5 min. i have tried pressing the throttle but nothing works until it cools down