Fantastic that you are going inland too! Do you have Actun Tunichal Muknal on your list? It's a must do!!
Don't worry about picking an operator that has their own Blue Hole boat. Every dive op will book you on a Blue Hole trip with a boat that is going. Way down at Sunset, you'll have to be picked up at your dock every dive day anyway. You'll just get picked up in the dark that morning.
Watch the weather though before you choose to go. If the weather is bad and seas are rough, the boat will probably still go, but I've seen the trip turn into a vomit comet for some. On bad weather days (clouds, rain, wind, high seas), like I said, the trip can be pretty rough, and while the diving is still good out there, it just can't be compared to when you have a beautiful day. My best day ever on a Blue Hole dive day, was a Christmas Day! Wishing you all the best weather!!