Anything wrong with this configuration, or anything in particular to be aware of? Or, is there a better way to do this? Or, just other ways I might consider?
That circuit is somewhat doomed, with many issues.
The LT3045 can be thought of as a smart PNP, which means the lower artificial ground moving stage, needs to
sink that base current of 2.2mA~25mA, depending on load.
ie the lower stage here needs to be a sinking regulator, or a positive regulator with a minimum sinking load.
The other problem is practical - the LT3045 has a precision current source, allowing a simple single resistor set point, but to make two floating units track, you need 2 variable resistors. Ugh.
You can
voltage drive the SET pin, to better manage this, but you are now using the LT3045 as a rather costly 'zero offset' PNP transistor.
It may be simpler, and much cheaper, to start with a low noise reference and low noise, > 26V opamps with added transistor power output stage.