Hi, AnnMarie!
Any combination of those double strollers are bulky, aren't they?! I don't blame you for not wanting to drag it on a Disney cruise.
More than likely, you can ask your Walt Disney World (WDW) resort prior to your cruise to transport your sit & stand stroller to your next WDW resort where you'll be staying after your cruise.You'll just need to make arrangements with bell services, label your stroller and make certain your post-cruise resort knows to hold it for when you check in.
Are you going to need a stroller on board or perhaps at ports of call? There are a limited number of strollers on board available for rent at
Guest Services. Yet, I actually suggest bringing an umbrella stroller (or lightweight stroller) for one child and consider renting another one (if needed) when you're in the parks. Then, you can bring the one stroller with you on board and store it under your bed. That's just a thought you may have not considered. (I'm all about making things easiest on Mom!)
By the way, I just answered a question about staying organized in a Disney cruise stateroom which may interest you. You may find this
Moms Panel Question & Answer helpful to you, too. Let me know if you think of something else. I'm here to help!
Have a wonderful day and a magical vacation. Bon voyage!
Andi