Do you have to run the 17's (brake clearance)?
If not and they are who you want to use, swap wheels.
If not, find a place that can work with your car.
Most alignment heads stick out 3-4 inches from the wheel edge, and extend up and down maybe 20 inches. See http://www.prealign.com/images/hunterman.jpg

It could very likely have clearance issues. Different machines have different heads. You may have to check around to find a place that has the tools to work with your mods.