Hi Gate,
This is probably not what you are looking for, but I'll say it anyway
Like many tunes, there are a lot of guitars playing on that recording. To try and copy any one of them isn't going to give you the overall feel of the song.
You've got to internalize the groove and express it in your own way. I hear one groove on the verses (arpeggios-single notes of the chords played individually-which I am inclined to finger pick or hybrid pick) and another on the chorus which is straight strumming. On the first line of the chorus ("Plenty of room at the Hotel California") you can pretty much strum exactly what you sing (or better put, emphasize the strums where the words are) and you will feel the groove for that section.
Unless you want to play in an Eagles tribute band I think you are safe putting your own spin on it--the tune is very recognizable and folks will know what you are playing
I hope this helps.