I can help you, providing your time frame is between now and March 22. After that it's schedule permitting. I have G1000 172's available, SR-20, and SR-22. PM me for details and rates.
Introductory flights and recurrent training as below are exempt from the security requirements:
TSA has interpreted the definition of "recurrent training" to NOT include any flight review, proficiency check, or other check required by 14 CFR § 61.57 or § 61.58 whose purpose is to review rules, maneuvers, or procedures, or to demonstrate a pilot's existing skills. The TSA has further interpreted the definition of "flight training" for aircraft with a maximum certificated takeoff weight of 12,500 pounds or less to only apply to training for a recreational pilot, sport pilot, or private pilot certificate; multiengine rating (at any certificate level — i.e., does not apply to MEI); or instrument rating (does not include recurrent training).