I don't think most dishwashers get that hot (steam). Personally, I wouldn't take the unnecessary risk of wasting the time and money involved to get all the way to bottling only to find out a month down the road that the bottles didn't get sanitized well enough and some/all are infected.
Soak them for 3 or 4 minutes in a bucket and you will be good to go. It really doesn't take that long to do, especially considering all of the time you already have invested up to that point.
"I brew with a water cooler and some part from the toilet." - JohnnyO
"I do gravity feed the last gallon or two through my Therminator, but I expect you could suck start a Volkswagen before you could suck start one of these. - GilaMinumBeer
"..... Bull was right." - TXCurtis