What are my ideas, concerns, expectations? I want to get an as accurate a diagnosis as possible from the appropriate person.
One of the common characteristics of a TIA is that it may do no permanent damage, and it may not leave any trace of its occurrence. In fact, a TIA of this kind is harmless in itself; the only reason it causes concern is that some of the same things that cause TIAs can also cause more serious strokes that do some sort of permanent damage. Obviously, you want to prevent this latter type of stroke.
A corollary of this is that it's generally impossible to prove that a TIA has actually occurred. It doesn't do any permanent damage or leave any trace, so there's nothing to look for after the fact. Even if you could dissect the brain afterwards, you wouldn't find anything. All you can go on is the patient's history, symptoms, and any other conditions he might already have that raise risk (hypertension, diabetes, obesity, etc.).
Your ophthalmologist has probably had the same symptoms described to him many times by people who ultimately were determined to have had a TIA, or who had serious strokes later. However, he isn't specialized in the causes, prevention, and treatment of stroke, so apart from making a speculative observation, there's not much he can do (and his opinion could be taken with a grain of salt). If it were retinal detachment or glaucoma, he'd be the man to go to, but you need the right specialist for the right job.
Thus, you should look to specialists in cardiovascular disease and/or neurological conditions, who see this sort of thing every day, and who can try to isolate the cause(s) (if any) and come up with a plan of action to prevent any serious strokes in the future. They might also determine that it's not really a TIA at all, or that the cause was isolated or benign (or serious—but hopefully not). They know what tests to do and what to look for, even though the TIA itself may have disappeared into history now.
All of this is important for your health and your ticket. You don't want to have a "real" stroke, nor do you want to unnecessarily give up your license to fly. Get several specialist opinions. The more expert opinions you have, the better the results will be.