.. Our meters get sent out to a highly reputable cal lab twice a year...
Oh, congratulations for that beautiful instrument..
Simply wait another 3 months, then use a REALLY fresh calibrated 3455 with +/-20ppm uncertainty to check your 335A, dial set always to X.00000V in 10V range.
I don't expect a difference to your measurement now, because such old 3455 DMM normally are much more stable than the formal specification indicates.
Range calibration of 100V, 1000V may also be possible with a 3455, but to a limited uncertainty only. (i.e. worse than spec).
Linearity alignment is difficult with a 3455A, as it lacks the Secondary Specification (Transfer stability and Linearity).
A 34401A would be suited better, but not good either, i.e. 2ppm linearity.
This is a wonderful design project, to build a precise chain (divider) of 10 identical resistors, including a Wheatstone Bridge for linearity alignment. <1ppm of linearity is required.
Can be built easily from 12 precision wire wound 10k resistors and a bunch of trimmers.
Rem.: You also need a stable 10,0000V source to feed this divider and to produce a linear 1,2, 4,6,8,10V sequence.
See manual of the 335D version, which is much more instructive regarding calibration.
I've done that successfully exactly for that purpose, see my box here, in the range calibration configuration
(description in "Ultra Precision LTZ1000" thread)
Frank