Mike, I just took a look at a Fuji lens. Not a 360 A, so what I saw may not be true for your lens.
The lens I looked at has an inner group that's held in place by a ring with two slots for a spanner. Its outer group is held in place by a ring that has two slots for a spanner. The slots are partially hidden by the trim ring.
If you have the spanner needed and the haze is not in the cement (unlikely with modern cements, Schneider's problems notwithstanding) you should be able to do the job yourself.
Alternatively, send the lens to Focal Point or Flutot's for an estimate. They've already guessed what might be wrong, but guessing is no substitute for an inspection that will identify the problem. I'd be surprised if either charges you for looking at the lens. For that matter, can't you look at it to determine where the haze is?