I completely understand and was in the same boat about a year ago. We might want to start from the beginning. How are you currently using the Hue Bridge? Is it just automations and maybe the Natural Light scene? A good starting point is getting Hubitat to activate scenes at your desired times.
This is generally true, but is easy to work around. With Hue Scenes, they generally come on once their pushed whether from the Hue App or via Hubitat. When someone creates an automation and adds a fade time, the Hue App adds a transition time parameter to that scene only when the scene is activated via the automation. Selecting the scene from the room/zone still works the same way. It is possible to modify the scene to add the transition time parameter via a third party app or interacting directly with the API. @bertabcd1234 has looked into it for CoCoHue, but it is easier to just modify the scene directly. To give an example, at 7:30pm my family/dining/kitchen combo transitions to tropical twilight over 30 minutes and the master bedroom fades down to 2000 over an hour. Hubitat controls the activation, but I modified the scene. If you want to learn how, just let me know.
The natural light scene just selects scenes at defined time periods. Room Lighting can handle this and transition the lights between the color temperatures when the time periods shift. I use three Hue scenes (Read, Concentrate, and Energize) that shift throughout the day based on a virtual device. Others use an app like [RELEASE] Day Lights - an iteration of Circadian Daylight to fine tune their lighting and adjust it every 5 minutes.
This is why I go back to let's start from the beginning. If we can get most of your Hue Bridge stuff on to Hubitat, it will help significantly with this question.