For the lottery setup I'd be somewhat concerned if it's running a desktop based setup with desktop apps - that just increases the attack vectors for the system. Having managed a few internet accessible systems over the years (web servers and others) and also having dealt with various compromised systems (usually not ones I've setup) I know the importance of securing things.

Certainly for the wallet daemon Fedora and Ubuntu should just work (I've even run it on some more esoteric setups) and there are some notes on the Wiki (Some bits need moving around so I'll link directly later).

I've not tried the QT wallet (the command line daemon works well enough for most of my needs) but I'd have thought it should build relatively easily on most systems. If you're having issues then it would make sense to provide the errors and ask for help either here or on Discord. If you've got useful build notes then it might help to add them on the wiki.

One of my longer term goals is to build various packages for installing the EGC daemon and QT wallet. Initially as a way of supporting the solar stake boxes but also for deployment to my own systems. I'm also aware that targetting flatpak might be useful as that could cover distribution of the QT wallet to a variety of desktop based systems.