To use it in a noun context, you would need to rephrase it. Here are some examples:
1. With a noun phrase:
* The possibility of "could happily"
* The potential for "could happily"
2. With a relative clause:
* Something that "could happily" happen
* A situation where "could happily" would be appropriate
3. As part of a compound noun:
* A "could-happily" scenario (though this might sound strange)
Remember: "Could happily" is a phrase indicating potential happiness. To make it a noun, you need to use it as part of a larger noun phrase or concept.