I've not heard the Kleos in a Linn, only a in the direct drive VPI. It has a great reputation. The top Dynavectors might also work. Why not try a inexpensive Audio Technica VM760SLC as an experiment to get a benchmark on something different. You might be surprised.
To be honest, for the type of music you like to listen to, the LP12 may not be the best choice. I had one years ago and switched to a tricked out Garrard 401. I have a few of them and different arms and cartridges for the different music and mood.