Need advice on getting good self-portrait shots at a museum

I’m a scientific illustrator and my favorite place in the world is the Field Museum in Chicago. I like using pictures I have of me there taken with a phone in my socials/website. I’m going there this month and would like to get some shots with my Sony A7II with kit lens 28-70mm. I would like to get a shot close to one of the dinosaur specimens, since I’ve drawn them multiple times.

However, I don’t know how to handle “museum lighting”. Because the point is to see the specimens, there’s usually a light coming from above on them and the space around is dark. The light is really unflattering for portraits.

I don’t want to be disruptive and use a flash, but I also don’t know what to do. Any advice on how to handle that?