I'm thinking this would look great on my volunteer shirt next year

FIRST General Forum
1

But I think it might damage the value a bit.

2

I think both the shirt and the patch would go up in value.

3

https://www.scifigeeks.com/product-category/nasa/

They have a bunch of interesting stuff if you browse around. Their website is really slow though.

4

Googling Apollo 11 patch took me to a bunch of places with the same item, sans the flight history, packaging and certificate for under $10 (in some cases under $3).

5

Your volunteer shirt would look good pulled over the flight suit too