Your question was formed OK, maybe you could have elaborated a bit
why mica is not an option. "I have to do it with what I have available because I'm on a deserted island and can't mail order any mica or silpad" is understandable.
However, remember this is a discussion forum, not a question - answer site. We are not here to answer your specific question, but rather using it as a starting point. Which is great because then we will see more variance in the replies and the replies could help others to learn. You can also get inspiration from some ideas you did not think about.
8W through 2*16*32mm=1024mm^2 is not a problem. For example, if you use random plastic film 0.3W/(mK), with thickness of 0.2mm, you will develop 8W / ((0.001024 m^2 / 0.0002 m ) * 0.3 W/mK) = 5.2 degC temperature difference over the thermal interface material. Hardly a problem.
Although, if the surface is, as you say, "not very level", if you effectively only use the thermal conductivity of 1/4 of that 1024mm^2 - then the temperature difference would be 20degC already, eating quite a bit into the margins.
Which brings us to the purpose of thermal interface material - it's needed to fill the gaps, providing contact over the whole area. Plastic sheets, mica, etc. are just insulators and need additional thermal interface material like thermally conductive grease. Sil-Pad on the other hand is a complete solution.
You might want to experiment with paper soaked in mineral oil (the oil would fill the gaps), but no one can give you guarantees how it works. Will the oil escape? Or get dirty and conductive?
I have had excellent results using bog standard double-sided tape. The thinnest type you can get, not the thick foamy stuff! When the surfaces are relatively smooth and level, the glue of the tape itself fills any microscopical voids, and the tape carrier being just some 100µm thick, it's OK even if not engineered to high thermal conductivity. And, when the surfaces are smooth and clean, the tape is also so strong it suffices for mechanical mounting. But no one knows how well it ages.
I'm a bit worried about the heatsinking capability of that steel chassis. I tried to google CRS steel as this was a new term to me, and

, it can mean two totally different thing: cold rolled steel and corrosion resistance steel. This is why I hate acronyms. If you mean stainless, the thermal conductivity sucks greatly, some 15 W/mK. Normal carbon steel would be closer to 40-50 W/mK, still crap compared to aluminum, but not that bad.
It's a more complex modelling question, but for a rough idea, calculate the temperature difference when the heat tries to go through the 4 sides of your 16x32mm window. The total surface area the heat has to go through is 2*2mm*16mm+2*2mm*32mm = 192mm^2. Given carbon steel, this area and 4W of power, now each
centimeter of depth means temperature drop of 4W / ((0.000192 m^2 / 0.01 m ) * 45 W/mK) = 4.6 degC. The heat clearly can't go very far. Most of the dissipation has to happen within your coupling window area 16x32mm plus maybe 20mm in every direction, i.e., something like 50 x 70 mm. Now the silver lining is, 4W per such area is not a lot of power.