Chamomile, valerian, kava, peppermint, ... - there are a lot of herbal teas marketed to promote relaxation and sleep. I use several of these teas, and they do help me to get to sleep, but I am not sure how much they help with anxiety. Preparing a cup of herbal tea and sitting down with it, experiencing the moment - that can reduce anxiety. Especially after the house has quieted down and the kids finally went to bed.

Be aware that herbs are generally less potent and milder than prescription alternatives, but they still work in similar ways and also can have side effects and even the potential for abuse. Kava is the herb most associated with reducing stress and anxiety, but should not be used excessively, as it is also associated with liver damage in people who overdo it. Herbs can lose effectiveness too, just like other meds (tolerance). When I started using St. John's Wort and herbal remedies for relaxation and sleep, it would knock me out fairly quickly. Now the effects are much less noticeable.

Doctors use other medications besides benzos to treat anxiety, such as SSRIs and a selection of others, including antihistamines too. My pdoc wasn't willing to try a benzodiazapine - it is standard to try an SSRI like zoloft first.

The most natural way to manage anxiety is by changing your thoughts and behavior. Medication can give you some help, but therapy (or self-help and similar ways to change what you do and how you cope, etc.) is the only way to actually address anxiety by its roots. And it is completely natural and drug-free. It just takes more time and more effort.