For a recurve, start at 7 1/2 inches.  Tighten the string a few twists at a time till you find the quietest brace height.  If that doesn't seem to be working, drop back down to 7 1/2 and lower the brace a few twists at a time.  I very seriously doubt your brace height will be less than 7".  Contact just about any string maker or bowyer and they'll be able to help you out best.
I can't ever remember the measurement rule.  One is 4", the other is 3"; longbow versus recurve...  I just call my buddy in Georgia and he builds me another one.   
