I use organizr. It can use iframes to load the pages which makes for a very integrated experience. It can be a little more complex to get going and get your apps playing nice with the iframes. Also the development on it has slowed down a lot. I’m hoping it gets more love soon, but that alone has me looking for alternatives. There are several others I have seen. I’m looking at Homepage currently.
So far nothing seems better than organizr for my uses.
I am using romm, game vault, and testing out retrom: https://github.com/jmberesford/retrom/releases
Retrom is still pretty new but they plan on using emulatorjs for web play like romm, and having a client app like game vault.
I’m waiting for one of them to become the all in one solution for emulation, web play, and game installs for Windows games, but none of them are there yet.
Right now I would probably recommend gamevault for your use case.