Eflyguy is referring to flame polishing, which has been discussed previously:
I’m not sure if there was ever a thread that reached a conclusion about flame polishing but it’s worth a look. I’ve never tried it myself.
You might be able to get good results chemically, very carefully applied weld on might smooth it out kind of like your* clear resin 3d printed deer?
This might be a good use case for extruded acrylic, it already engraves with less contrast in the first place.
If all else fails this might be a good candidate for resin casting. Use the gf to make a positive, cast a negative with silicone, then cast it in clear resin. If you only need one you could just make it with the elegoo clear method?
In any case I’ll be curious about how it turns out.
* at least I think that was your project?
Edit: doh you already weld-on’ed. Reading is hard.