I have a similar setup on my 2016 2500 (see signature). I just went and measured my truck, and it looks like you might barely sneak in under 7 feet or be right there. My 35's have an actual height of 34.5", so make sure you compare that to the actual height of your new tires and adjust accordingly.
On my truck, the roof of the truck looks to be an inch or two under 7 feet, but the Sirius shark antenna might scrape by.
I have an 8 foot garage door, so I don't have to worry about the height. On a side note...I was pleasantly surprised at how many automatic car washes can accomadate vehicles over 7 feet. We got pretty salty roads here in Iowa throughout the winter, so I like to give her a quick bath every so often.