1998 Toyota Camry Stalling

I have a 1998 Toyota Camry with 155,000 miles. If I slow down quickly after driving at a higher speed (65 mph) or accellerating to pass the engine dies. If I am very careful to let the car slow down gradually this does not appear to happen. After the car stalls, if I let it sit for about 2 minutes and then start it again, the engine idles properly. Sometimes while going 65mph or above, it feels as if the engine misfires slightly if I have not gradually increased speed ie if I have accelerated quickly. The tack is steady however, it’s just a slight feeling of the engine “missing” (a very slight “chugging”. Toyota was no help. One mechanic suggested a faulty EGR valve HELP ME PLEASE