We need @zyga-snapd to answer as to the status of snappy on Chrome OS for us to be able to see whether installing the Quelea snap on your Chromebook would be feasible, sorry. Alternatively you could use crouton (which I mentioned earlier) to install a GNU/Linux distribution, then install Java on that, then run the Quelea Jar. Or you may be able to install Java on your Chromebook, try downloading the JRE here (try the 8u192 jre-8u192-linux-i586.tar.gz (if this is 32-bit Chrome OS) or jre-8u192-linux-x64.tar.gz (for 64-bit Chrome OS)) and then running Chrome OS on that. If you’re happy using OpenLP then just use that for the time being, at the moment it might just be that OpenLP runs on Chrome OS and Quelea doesn’t, that might just be how it is.
@berry120 Also, before you hit stable ask how you can make yourself (or a Quelea account which you could ask Quelea to be transferred to) a verified publisher so you get a tick next to your name so that users know they can trust the snap 
Edit: this might not be possible but you could mention it when you ping popey for snap promotion