While I have no experience in Florida, I have networked off the internet since it’s infancy. Most cyclura breeders keep their long term established pairs together year around. As was mentioned in this thread, you need to“ Listening to the Lizards.“ Based on what you have described, Taking the male out of the picture after the mating falls into that category. Eventually when your pair has become more comfortable together, that should change. In Arizona, there is a long term breeding pair that are separated frequently due to the aggressive nature of the male -- cornuta tend to be less predicable than other species.
My first successful reproduction of cycluras was with two breeder loans in 1998. At the time, The experts warned of incidents of females getting injured/killed. Early introduction ,a female of equal size, a large enclosure with lots of furniture and close monitoring are important if one is to consider breeder loans. It is a HUGE mistake to mix and match during times when spermatogenesis is happening in the males -- introductions should be done months before the breeding season.
In general, the warmer the climate, the more likely a female will lay eggs annually. There is a Florida colony that the same pairs of males and females breed together annually. For the few years I had a colony in NY, It was noted that one female only breed with one male, while others breed with multiple. Tom Wiewant film documented the lives of Mona Iguanas -- he sells a video. It is worth seeing. An edited version called Devil Island is available on Amazon. It may be cruel to separate long term establish mating pairs, but as seen in the video, when the females are nesting, the males are not around....It is important to listen to the lizards.