There are all sorts of pluses and minuses but you might be interested in the construction of the old Julie Research standard cell oven, SCO-106. It was for a bank of three standard cells but the technique would work for anything. Air, not oil. Oil is a PITA and you have to stir it. First, they machined a heavy wall aluminum box, probably 1/2" thick walls. It had a heater around it, can't remember if they used wire or flat Kapton heaters. They used a mercury thermoregulator, probably in a drilled hole with close coupling to the heater- you don't want any time lag. You'd use something sane, like a thermistor, in the same way. You control the walls, not the air. They then made a second heavy wall aluminum box to fit the first one, with Styrofoam plates between the two on all sides. Same temperature regulation scheme, but with the outer box just a tad cooler than the inner. The whole assembly went into a wood case (good thermal insulator) with a good amount of Styrofoam between the inner boxes and the wood case. The standard cells had a length of wire nearby, maybe nickel, that formed one leg of a bridge, with a pot on the outside. This had nothing to do with the control but was only used to monitor the temperature of the inside of the inner box and cells so you'd know if anything was amiss or could compensate for variations. I can probably find more info if you need it.