One other consideration is that you have to think about the incremental impact of your decision. I.e. does getting on the train or play actually lead to additional emissions? For example, let's say a friend is driving to a concert, and you are deciding whether to carpool with them or stay at home, then it's likely that both choices have the same incremental impact (no additional emissions).
For your decision, planes typically have higher load factors (they run fuller) and as a result, riding a plane regularly is more likely to lead to incrementally more planes being flown.
Amtrak has fairly low load factors, for example it's typically less than half full, the likelihood of your riding it, leading to additional trains being run is fairly low.
A decision about driving a car vs riding on a scheduled public transportation service (planes, trains, buses, transit) actually has very different impacts in terms of this approach of looking at the likely incremental change in emissions.
So it's sort of a hard question to answer from a real emissions impact point of view.