As far as the specific Series 5, historically there was really only one choice, what is now the GT5542LS. Don't worry about 3 section verses 4, the bottom section of that Series 5 is 28mm, the same as the 2nd section in your Series 3. The GT5542LS goes to 60" height, which is on the high end of the standard eye level tripods.
You now have a new and interesting option, the GT5562GTS, which goes to 109". It is a 6 section.
You probably don't want to haul 6 sections (and some significant weight) around in the field; it's likely overkill. But you can remove one or more sections and add optional feet to turn it into almost exactly a GT5542LS, among other possible configurations.
It is an interesting option if you have some other occasional need for a very high, but still decently stable tripod. You might be able to shoot airplanes in flight, with a wing level perspective, while everyone else is getting belly shots