I want to mount a FR trem flush against the body so it can't be whammy'd upwards. Also, I want the string height correct. Last time I mounted s FR the string height was to high from 12th fret on. I once read that a non-floating FR needs to have the neck shimmed or the trem needs to be recess mounted to the body and if you didn't do one of these things the string height would be off. Recess mounting seems viable cause i can always screw out on the post if height is low but I'd rather not take the router route. My question is, can correct string height be achieved without shimming or recessing? Thanks.