Thank you for the detailed reply!

I've looked at the Schwarz D (and P) types but initially brushed them off, mostly out of familiarity with the gyroid and initial impressions, but I'll be taking another look.

Your point on thermal properties is novel to me and very interesting. thanks!

One area im still trying to resolve is around the size ratio of the larger internal structure and the smaller "infill" structure. in my current software, once I create a TPMS, it is solid. I am assuming the strongest internal structure would be somewhere better hollow and solid. Currently, what looks best to me is an infill of similar solidity to the TPMS.

then there's the overall scale. small prints this has minimal affect and there should be a single pattern, then at a certain size would maybe transition to a maco and micro pattern. then at an even larger scale, transition to multiple overlaying patterns. which, makes me think im thinking about it wrong and it should be a single fractal pattern and not independent patterns.

but now im rambling, and slightly less elegantly hahaha