I prefer the second of the shots that you posted but I think that is because I tend to prefer backgrounds that are not black.
The shots I posted were all hand-held. The butterfly conservatory does not allow use of monopods or tripods, and my preference is hand-held anyway. The butterflies move so fast that not being tied to a support feels better to me.
I used a Fuji X-T2 camera, no flash. Just camera and lens.
I've added the lens I used to each of the shots to the end of each post. I started with the Fuji 55-200mm lens then switched to the Fuji 80mm macro. There were challenges with both - the focus distance on the 55-200 didn't always work in the space, yet it was helpful when I was after butterflies that were further away. The 80mm macro is superb for close-up work.
I would love to capture butterflies in flight but that is still beyond my skill set! I also keep trying.
While I don't have a garden at home, I do volunteer at a garden about a mile and a half from here. In addition to helping I spend a lot of time there with my camera. The first photo I posted was from that garden; that's my close-to-home go-to spot for butterflies. Of course that is strictly a summer activity.
The Magic Wings Butterfly Conservatory is 90 miles from home. It also gets quite crowded but I have found it to be reasonable when I go during the week and try to arrive just as they are opening. My visit last week was quiet to start then very noisy as a school group was visiting. One of the staff told me I could call ahead to see if any groups are scheduled. As it was I had enough quiet time before they showed up and I was fascinated to see the different reactions of the children. Some were fascinated with the butterflies, standing still with a hand out in the hopes of having a butterfly land on them. Others were frightened. The conservatory gave those who were frightened a piece of nylon to drape over their heads to prevent the butterflies from landing directly on their hair or skin.