Formal/Literary:
* Journeying (verb form)
* Voyage (if referring to a sea journey)
* Sojourn (if referring to a temporary stay)
* Pilgrimage (if referring to a spiritual journey)
Informal/Creative:
* Journy (slang, often used in online contexts)
* Jurny (another slang spelling)
* Jorney (a slightly less common misspelling)
Other languages:
* Voyage (French)
* Reise (German)
* Viaggio (Italian)
Ultimately, the best spelling will depend on the specific situation and the desired tone.