Assuming that you're using absolute colorimetric as your rendering intent, If you use X-Rite i1Profiler you can generate a new (source) profile with a new white point. Just measure the press paper you want to simulate and enter that as your white point.
Like Mike, I'm not quite understanding why your P2P would fail since in the G7 world, white point is relative.....G7 neutral and NPDC are not based on a specific white point since the metrics are adjusted relative to whatever white point you have.
If you're targeting (for example) GRACoL2013 specifically, then white point matters of course. If what you want is a "GRACoL" proof but adjusted for your press papers, then simply download the GRACoL/CRPC-6 characterization data and adjust the white point either through the SCCA calculator or using i1Profiler's white point adjustment feature.
------------------------------
Terence Wyse G7 Expert
OPS R&D Senior Color Specialist
Shutterfly
Fort Mill SC
(704) 207-4054
------------------------------