I think the problem lies within three things for you (of which I think you're already on track with):
*FPS limiter (be it Precision, Trixx, or some other second/third-party program and/or drivers)
VSYNC in and of itself will introduce input lag; the FPS limiter as you found seems to be screwy with CF, and CF has it's own issues which may make things 'feel' lagged though there may not actually be any 'true' input lag created (though there may be in some circumstances, via either drivers or other issues).
My recommendation is to limit the frame rates of games you play which have the in-game option or an editable configuration file, for those game engines which support that feature and disable VSYNC - you will possibly still encounter screen tearing but it may be largely remedied by limiting via game-engine instead of outside limiters (Precision... etc).
Alternatively there is but one last real solution which you may or may not like: go back to a CRT
( I know...
) - Not the option most want to hear but CRT's have their places in situations like this....