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The 17x11, 38mm offset is the ZR-1 offset. They will stick out on a non-Zr1 considerably, probably about an inch or so.
What you want is the 17x11s with the 50mm offset (GS offset). They will probably stick out a tad, but only about .25" or so.
I had ZR-1 offset rims on my 96, they do stick out, but certainly not that far. Maybe 1/4-3/8". I didn't mind because I bought a set of GS fender flares with them.
I Have the stock rims on the car now with 315 x 35 and 17 inch rims. They stick out now a wee bit maybe an inch, probably less. I'm guessing with the 11 inch rims and the same tire they will not stick out any further? What sticks out now is the tire. and not so much the rim. Is there concern for something rubbing in the back?