Try using a docking computer. They have really refined and improved the DC's performance in 2.2. I have had no problems landing any of my ships using the DC to actually handle the final touchdown. I don't use a Cutter, but I had no problems with my Anaconda, Corvette, Python or the Beluga Liner.
The landing sequence is slower but far more realistic looking with big ships. They behave like big ships instead of paper airplanes.
FYI: Manually flying the mailslot and turning over control to the DC once inside the station is faster than a 100% manual landing. At least if you consider a realistic looking landing something of value.