We noticed the decline of the Radisson even before the pandemic, so when we booked our B2B on the Mardi Gras last April, we decided to try out the Hampton Inn / Home2 Suites. It is a fairly new property, and it is closer to the port entrance than the Radisson, and on the other side of Astronaut Blvd. The hotels are set back so they are hard to see from the Blvd.
We have a ton of pictures of the property starting on page 1 of our B2B Mardi Gras review, which is in my signature. We liked it so much we will be going back there in January before our Freedom cruise.
We know that there was some type of shuttle service to the pier from there, but don't know if it was affiliated with the hotels. Like you, we also prefer to park at the port.