More generally, having your stuff screened for security to get on a commercial plane isn't a 4th amendment violation, the word "unreasonable" is right there in the amendment for a reason. You're in public in an enclosed flying object bringing your goods onto someone else's plane with 100+ strangers aboard, it is completely reasonable and necessary for the freedoms of everyone involved for the TSA to ensure that your stuff doesn't have dangerous objects aboard.
Don't forget that freedom also involves the freedom of other people to not be negatively impacted by you exercising your "freedom."
You can opt out, just say you do (and preferably cover the camera with your hat or bag)
You're free to take the bus, or hire a chauffeur. A private pilots license doesn't have any pictures either.
Also, the spirit of the 4th Amendment is most certainly not "here, this is the easy way!" (yes, we are conducting mass surveillance but you can sort of opt out of one piece of it by going through a manual process over here that we will make you feel like you are burdening us by requesting)
I trust the TSA agents brain to not get hacked in the next 24 hours, a database run by them, not so much.
