What an unusual Linux distribution!
What an unusual Linux distribution!
Consider a lightweight Linux distribution ideal for emulation tasks. Dolphin Emulator works well on such setups.
You might choose Manjaro Gaming Edition (mGAMe), which includes Dolphin along with several emulators by default. https://sourceforge.net/projects/mgame/
look for the .exe file when a Linux version exists, as shown by the search results for Dolphin on Ubuntu. The listed versions include Dolphin-emu/zesty 5.0+dfsg-1build1, which supports Gamecube and Wii emulation.
Choose a lightweight distro featuring only a window manager such as OpenBoxes or i3. Write a shell script that launches Dolphin-Emu upon login. For an ultra-minimal setup, consider Arch Linux; Arch Anywhere simplifies the process.