Clay Hunt Suicide Prevention for American Veterans Act or the Clay Hunt SAV Act - Requires the Secretary of Veterans Affairs (VA) and the Secretary of Defense (DOD) to each arrange for an independent third party evaluation of, respectively, the VA and DOD mental health care and suicide prevention programs.

Directs the VA Secretary to publish an Internet website that serves as a centralized source to provide veterans with regularly updated information regarding all of the VA's mental health care services.

Requires the VA Secretary and the DOD Secretary to enter into certain strategic relationships to facilitate:

• the mental health referrals of members of the reserve components who have a service-connected disability and are being discharged or released from the Armed Forces,
• timely behavioral health services for such members,
• communication when such members are at risk for behavioral health reasons, and
• the transfer of documentation for line-of-duty and fitness-for-duty determinations.

Requires the VA Secretary to carry out a three-year pilot program to repay the education loans relating to psychiatric medicine that are incurred by individuals who:

• are eligible to practice psychiatric medicine in the Veterans Health Administration (VHA) or are enrolled in the final year of a residency program leading to a specialty qualification in psychiatric medicine,
• demonstrate a commitment to a long-term career as a psychiatrist in the VHA, and
• agree to a period of obligated service with the VHA in the field of psychiatric medicine in exchange for the repayment of such loans.

Requires the DOD Secretary to submit to Congress a review of the staffing requirements for individual State National Guard Commands with respect to Directors of Psychological Health.

Authorizes the VA Secretary to collaborate with nonprofit mental health organizations to prevent suicide among veterans. Requires the collaborators to exchange training sessions, best practices, and other resources to enhance their suicide prevention efforts. Directs the Secretary to select a Director of Suicide Prevention Coordination within the VA to undertake any collaboration with nonprofit mental health organizations.