Hi ggbiw,
Welcome to the Heartland Owners Forum and hopefully to the family of owners. We have a great bunch of people here with lots of information and all willing to share their knowledge if needed.
The 3185 does not show to come with a w/d hookup,, but the 3385 or any model above the 3185 does... The dishwasher is another question... it probably could be installed, but you would loose valuable drawer or storage space. Or maybe even move on up to a Landmark,,, I think a dishwasher is an option on some of them.
Enjoy the forum.
Jim M