Here is the prompt, albeit canned (since it does not answer my question), response from the TSA:
"Passengers are allowed to bring medications in pill, powder or any other solid form through security screening checkpoints in unlimited amounts, as long as they are screened. The limit of one carry-on and one personal item (purse, briefcase or computer case) does not apply to medical supplies, equipment, mobility aids, and/or assistive devices carried by and/or used by a person with a disability.
Although medications are not subject to limitations, passengers are encouraged to limit the quantities they pack in their carry-on bags to what they will reasonably need for the duration of their itinerary, allowing for delays. Medications are not required to be in prescription bottles and may be transported in daily dose containers; however, States have individual laws regarding the labeling of prescription medication with which passengers need to comply. Therefore, TSA encourages individuals to carry medications in their original packing, with professionally printed labels or pharmaceutical labels. This recommendation is to assist travelers with the screening process.
Passengers should inform Transportation Security Officers (TSOs) of medications and separate them from other belongings before screening begins. TSA has created notification cards that travelers may use to inform TSOs about any disability, medical condition, or medical device that could affect security screening. Although these cards do not exempt anyone from security screening, their use may improve communication and help travelers discreetly notify TSOs of their conditions. This card can be found at
Medication is usually screened by x-ray, however, if a passenger does not want a medication x-rayed, he or she may ask for a visual inspection instead. This request must be made before screening begins, and passengers are responsible for displaying, handling, and repacking the medication if a visual inspection is requested. If the medication cannot be cleared visually, it will need to be x-rayed and may be subject to additional screening, including explosive trace detection screening."
Even though "daily dose containers" are OK, the best approach may be to replace the fish oil capsules in their plastic container, and "declare" that to TSA as an item to be x-rayed. It is hard to imagine that this would be confiscated, and even if it were, there would be no fiddling with all those bags to remove the oil capsules.