HandyImage

You need a userscript manager to install and use the script, e.g. TamperMonkey (might not work in other less-pupular and less-maintained ones)

* But keep in mind that when requesting nameless non-popular image hosting google knows not much about you'd have to provide a reason for adding it - a website url which uses that hosting a lot for images ** Or if you are a developer yourself and would like to help add new hosts, you can submit code edits at GitHub page