There are a lot of issues in this thread to discuss. Optic neuritis can occur in both eyes, but it is unusual to occur in both eyes at the same time. When unusual things happen, it doesn't make the diagnosis wrong, but you need to wonder. It would be extremely unusual for symptoms of ON to come and go so rapidly on the order of hours.
ON typically should be treated with IV Solumedrol. This treatment does NOT alter the long term outcome, it only speeds the recovery. In other words, if your vision is going to recover to 95% of its original baseline, it will get to that same place with or without Solumedrol, but it might get there in 2 weeks with Solumedrol and 6 weeks without Solumedrol. Oral prednisone is NOT recommended for acute attacks of optic neuritis. The same study that found IV Solumedrol helps speed recovery found that oral prednisone makes ON worse. We do not understand why this would be the case, but, based on this study, we avoid oral prednisone in ON. Monthly steroid pulses are NOT recommended because they do not alter the long term outcome of multiple sclerosis.
There are some fairly decent studies showing that sometimes people can fail Copaxone and do well on interferon, or vice versa. So, Avonex may help. But, Copaxone, Rebif and Betaseron are all stronger than Avonex, so a switch to Rebif or Betaseron might make more sense.
If your MS effects only your optic nerves (and maybe your spinal cord) but leaves your brain alone, you should be tested for another condition called NMO.