2mm (so 5/64") seems reasonable assuming you're playing with fingers. Similar to a Fender spec also. All 4 of my Sandbergs are set to around to 2mm max although it's too low for playing with a pick in my experience especially if you're digging in.
The Sandberg necks are levelled with a plek-machine so should be better than most bases to set a low action.
Generally having a low action requires a controlled standard of playing in my experience.
What style do you play? Also, are you setting the neck straightness with a proper 34/35" Neck Bar.
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