After trying dozens of lightweight Linuxes with disappointing results, I downgraded my Sony Vaio P to WinXP. This has full GPU acceleration on Intel Pouslbo and for XP the machine's 2GB of RAM is spacious. Sad, but there we are.
Instead of Mint I'd pick something like Alpine Linux with LXQT:
https://wiki.alpinelinux.org/wiki/LXQt
Also, adding ZRAM will fly on that machine.
Also, you can build SCUMMVM (install alpine-sdk, get the alpine ports and edit the pkg build file so scummvm gets compiled with these options at the configure build stage:
#!/bin/sh
sh configure \
--enable-static \
--enable-all-engines \
--enable-all-unstable-engines \
--enable-release \
--enable-plugins \
--disable-hq-scalers \
--disable-dlc \
--disable-scummvmdlc \
--disable-discord
With these options even Macromedia Director stuff will run (maybe Encarta 95 and the like) and modern games such as Technobabylon, Thimbleweed Park and so on.