Porteus

I forgot to mention, for your purpose you can probably do: usm -g alpine nodeps

This should just search the i486 database, retrieve the link and download the file without dependency resolution. Not sure how you would chroot into porteus. You'd need to unpack all the modules to a real file system.

^
It's mainly being able to get the right / wanted module. I then just transfer it to another machine to be used there.
More of a proof of concept than anything else. I just want to know it would work.