I think ypur best bet would be uber to the port as it is a bit far for them to have a shuttle
They will take you to most areas but I don't think they would take you to cruise port it is only about 20 dollars
I would either call or e-mail the hotel directly they can tell you for sure which amenities they offer. Often the shuttles will take people to almost anywhere if they are not busy.
Get an answer from InterContinental at Doral Miami staff and past guests.