I think the beach is a great idea! It's understandable that you have some health anxiety right now - I hope you find a way to live peacefully with your new diagnosis.
A month sober is awesome! For what it's worth I was nowhere near not-anxious at one month. It took several months. Stay busy, do get some exercise - and enjoy the natural beauty today. You'll be so glad you did! Report back and tell us what you saw.