Voxelibre has sprinting. Hold E to sprint, you'll go a bit faster and use hunger points. There's also a privilege you can grant yourself to significantly up your top speed. (I think this is more of a luanti thing than voxelibre specific)

/grant singleplayer fast

Voxelibre's developers want to start taking it in its own direction such that it's no longer a Minecraft clone, if you want a more faithful Minecraft experience then checkout Mineclonia.

Also I'd be remiss if I didn't point out that Minecraft java edition will just work on Linux.

What is stopping you from playing Minecraft itself on Linux?

I haven't played it in a while, but it did work perfectly fine last time I tried it. It is written in Java, after all.

Look at Vintage Story, not really Minecraft other than voxel based, more of a survival game. It's a lot of fun though