"no structural improvement which affects the load bearing walls, the stability of the buildings or any parts thereof, the structural integrity of the building or any parts thereof, or in any way jeopardizes the safety or soundness of the buildings or any parts thereof shall be made unless first, in writing, approved by the Board."
Although the ceiling itself is not structural, it does add some load to the structure that is is supported from, so you would be violating the terms of your deal. We built lots of commercial buildings and always allowed approx. 1.5 lbs per square foot for a suspended ceiling with lights and factored that in to the design loads of our buildings.
I'm not a fan of suspended ceilings in residences, looks like a cheap afterthought.