All this talk about Unlovely made me look through the Internet's stash of Happiness Charge doujins to see what fun stuff people have done with her. By skimming through the HaCha doujinshi on sadpanda, I identifies 4 doujinshi that features her.

Exhibit 1. Masturbation.
Source (not much Unlovely):
https://e-hentai.org/g/2245895/9d7d567c73/