Compressing the insulation ruins it's effectiveness. Placing plywood down so that it squashes it can take an r-40+ down to r-15 or less. Build up from the ceiling joists before putting large sections of plywood down.
If you're going to need to go back there again, get some 2x6's and notch them to fit between that gap you indicated between the stringers and screw them in so you have a narrow footpath. You'll need to be careful that you don't break that connection on the joist, it may just be a nailer plate holding it, and too much screwing around may mess with it, but once you place that pathway down, it will tie the whole thing together like a spine.
Add a length of rope tied and hanging between the rafters for a hand line and rock it in the attic.