After evaluating a number of different solutions, I ended up being quite happy with pex: https://github.com/pantsbuild/pex
It basically bundles up the wheels for whatever your workspace needs, and then ships them in an archive with a bootstrap script that can recreate that environment on your target. But critically, it natively supports the idea of targeting multiple OS and Python versions, you just explicitly tell it which ones to include, eg:
--platform=manylinux2014_x86_64-cp-38-cp38 # 16.04
--platform=manylinux2014_x86_64-cp-36-cp36m # 18.04
--platform=manylinux2014_x86_64-cp-35-cp35m # 20.04
Docs on this: https://pex.readthedocs.io/en/latest/buildingpex.html#platfo...And you can see the tags in use for any package on PyPI which ships compiled parts, eg: https://pypi.org/project/numpy/#files
I don't know that this would be suitable for something like a game, but in my case for a small utility supporting a commercial product, it was perfect.