Most transformers use SRBP ( the brown phenolic paper) as both insulators and structural members, and also I have seen a lot of GRP boards in there as well.
You just need to make the traces a little wider ( do not go for a thinnest possible trace, make them wider so there is better adhesion to the copper), make the clearances generous and most importantly do not use any soldermask on the board, unless you are doing SMD, where you will make the mask as small as possible around the parts that need it. You can use certain printed labels on the board, just not those that are done with a solvent based single component paint, you want an all epoxy 2 part mask and silkscreen. You can either use ENIG or tin plate, though the ENIG will not corrode in the oil if it gets moist.
Most important is to make the housing able to withstand either being baked at 130C for a few hours to dewater the oil, or it must be strong enough to not buckle with a vacuum applied to do the same at room temperature.
Your connections need to be oil tight, I would recommend using a machine shop to turn up a few dozen ( as required) pass through connectors, in PTFE, with threaded rod and washers to make the connections, or to solder some feedthrough capacitors for lower voltage stuff. Or use transformer connector kits, as those will have the whole set of Neoprene seals and parts to make an oil proof high voltage connector.
Inner wiring sleeve with woven glass fibre sleeving, using PTFE wire or even solid bare copper wire. Make the cover such that it has a decent neoprene rubber sealing washer, and bolts every 50mm to clamp it down.