The Lakeland approach you show does not have a FAF (Final Approach Fix) because there is no defined point (fix), where you are established inbound and start to descend. In this case, the FAF is given by the FAP (Final Approach Point):
FINAL APPROACH POINT− The point, applicable
only to a nonprecision approach with no depicted
FAF (such as an on airport VOR),...
I have some trouble understanding how the procedure designers take into consideration the traffic flow from neighboring arrival procedures
We only concern ourselves with terrain and obstacle clearance. Doc 8168 Vol. II I-2-1-1 refers.
Deconfliction is an ATM responsibility, covered in Doc 4444.