Despite of level of Aurel's "arguments", I decided to have a look at Porteus.
IMO, all you need to know is there. i586 is the newest 32bit version, there is also a guide how to install it. Porteus is design to run mainly from portable media. You can choose an option to run it entirely from RAM which, in theory, should be really fast.
Aurel, you really should try to install it on USB stick. The easiest way would be to use
Rufus to create bootable drive. Of course there is all that UEFI/Secure Boot stuff, but I'm sure you know how to deal with it. So, try it, but if you don't like it then have a look at
this beauty. Go for
Upup Bionic and enjoy fully featured distro that looks really good (much better than the original Puppy) and, from USB stick, runs faster than anything else.
EDIT If you decide to try LxPup, you can always ask me for help. I can show you how to quickly change the look of it or to install/uninstall applications.