I suspect MUSE or any variant may be hard to get at this point, but here are the names of specific muses:
* Calliope (the 'beautiful of speech'): chief of the muses and muse of epic or heroic poetry
* Clio (the 'glorious one'): muse of history
* Erato (the 'amorous one'): muse of love or erotic poetry, lyrics, and marriage songs
* Euterpe (the 'well-pleasing'): muse of music and lyric poetry
* Melpomene (the 'chanting one'): muse of tragedy
* Polyhymnia or Polymnia (the '[singer] of many hymns'): muse of sacred song, oratory, lyric, singing and rhetoric
* Terpsichore (the '[one who] delights in dance'): muse of choral song and dance
* Thalia (the 'blossoming one'): muse of comedy and bucolic poetry
* Urania (the 'celestial one'): muse of astronomy
I favor Calliope for this purpose. Of course, calliope.com and calliope.org are both in use already.
So is mu.se.