What can I do regarding Non-Self After contemplating death while reading some articles on accidents, it dawned upon me (particularly strongly) that "everything" is out of our control. Everyone wants to be healthy, to have gains, not to have losses, but I recall feelings of helplessness/dejection in the inability to control when we are on the plane for example and there's turbulence and it's all in the hands of the elements, physics and fate. 

I contemplated more and more, the past times when I was sick, the various times throughout when I was in the doldrums of my 31 years of life. I can literally  feel my heart has sunk as few notches. Though mentally I don't feel disturbed or weighed down, I feel overcome by the sorry fact that we (everyone) no matter how much we wished and tried our efforts, things are just out of our control, that our body, our circumstances, are all Non-self.

I would like to get to a productive state from this place. Please advise?
I feel a sense of defeated-ness acceptance regarding this Noble Truth, is there anywhere I can go from here?
The scriptures (AN 3.38) report, before his enlightenment to Buddhahood, when the unenlightened Gotama lived in three palaces, he had the vision he would get old, sick &amp; die and this vision made him lose intoxication with his youth &amp; life.
Then upon enlightenment, he fully realised the five aggregates that compose life (body, feelings, perception, thought function &amp; sense consciousness) are 'not-self'; and one reason why each of the five aggregates cannot be a 'self' is because each can be subject to affliction &amp; sickness that cannot be controlled (refer to beginning of SN 22.59).
It is reported the Buddha once taught to an elderly man that:

The body is afflicted, weak &amp; encumbered. For who, looking after this body, would claim even a moment of true health, except through sheer
foolishness?
SN 22.1

Therefore, although Gotama's original vision of death as a youth resulted in great angst in his mind &amp; a long experimental spiritual search, in the end, his Buddhahood was merely the full acceptance &amp; thus being at complete peace with his original vision of inevitable decay, death &amp; impermanence.
In your situation, the place to go is the development of meditative calm (samatha) &amp; clear insight (vipassana) so the mind is at complete peace &amp; freedom with illness, aging &amp; death (rather than having discomfort with this initial vision). In Buddhism, this is called reaching the 'Deathless'.

Monks, mindfulness of death — when developed &amp; pursued — is of great fruit &amp; great benefit. It gains a footing in the Deathless, has the
Deathless as its final end (culmination).
AN 6.20