I was thinking that I could thermally isolate a small patch of a PCB ground plane, about one square inch, and add some resistors as heaters
to make sort of a local oven for the parts above the patch, and especially for the FR4 capacitance. Layer 2 is our usual ground plane, so the resistor grounds would terminate there.
Thermal and electrical conductivity go together. For copper, it's about 150,000 K/w per ohm, so a few milliohms of grounding spokes (the heated patch still needs to be grounded) could have a healthy thermal resistance to the main board ground plane. I could always add capacitors across the plane-cut gap to get better AC grounding without much added heat loss.
The control could be PWM or simple bang-bang. Since I'll have other temp sensors elsewhere on the board, a little feed-forward tweak could correct for imperfect local control.
The alternative would be to use SOT89 transistors or mosfets as the heaters and go all linear. That's safer - less potential noise - but not as elegant. Maybe use voltage regulators as the heaters? LM317s in SOT89?