Last time I crossed the GC, 2 up in a rented , old, pretty clapped Arrow (200HP) we had the greatest difficulty reaching 11500ft in the SFRA corridor; in fact I don't think we ever quite got there.
Even then the rim looked mighty close............
Oil temp hovered just outside the red for a long time.
Views were stunning, and managed one or two photos down sun: Up sun pretty hazy.
I echo others' advice: you might as well go commercial and let pilot know you are a pilot yourself and agree beforehand on what the flight will entail..........
And do it in the morning: it gets hellish bumpy by midday.
Safe flying
Cusco