Hmm, does it need to be stable or would it be OK if it's just "100mV less than Vbat, and without noise"?
For the latter, maybe one could come up with some completely discrete contraption similar to cap multiplier, but LDO.
Another thought is that maybe you could actually use LT3042 with an external transistor, but not like it's shown in the datasheet (of course). Say, load the output to ground and treat it as a reference + opamp to control a P-ch MOSFET. Compensation left as an exercise for the reader, but you are going to need something anyway for any kind of DIY regulator. Sorry, not gonna work, wrong feedback polarity.