the console cheat does not turn off ironman mode. it doesn't affect your ironman settings at all. All it does is force the game to allow you to be able to enter codes. I have no idea if entering the codes sets off something that disables achievements, but it's my understanding that the achievements are more tied to the fact that you are playing the game in ironman mode, which (without the trainer) doesn't allow you to use the console, and not specifically that you used a console command.
maybe someone can let us know that they used the console with our trainer in ironman mode and still was able to get some achievements, etc.
since the game has so many built-in cheats, it's stupid for us to re-invent the wheel so some people can get achievements that they literally didn't achieve (if they are cheating).
there is a whole thread here about the console commands.. maybe you didn't see it?