So, Robe of the Archmagi does the following:
* +5 armor bonus to AC
* Spell resistance 18
* +4 resistance bonus to saving throws
* +2 enhancement bonus to caster level checks to overcome SR
Reverse enginerring isn't that hard, if we're willing to accept a small fudge factor. The price of the first three effects are pretty well defined: 25K, 60K, and 16K. If we assume that the +2 caster level is of the [n^2*1000] variety, this gives a total of 105K. Applying the 30% discount for alignment-restricted items, that brings us to 73.5K, which is pretty close to the listed price of 75K.
I agree that it seems about as useful as a resistance bonus to saves - another argument for the [n^2*1000] category.
As for slot - how about vestment? Vest's affinity is 'class ability improvement' - this certainly seems to an improvement to a major class ability.