I'll try taking a stab at this. I'm thinking it won't fit under the stock hood. But under a cowl hood, yes.
The 144 is 8 5/16" from the block deck to the top of the case. A holley carb is 3 1/4" from the base to the surface the air cleaner sits on. Say you run a 3" filter. Now your looking at 14 9/16". A drop base filter housing would bring it down some though.
The height of my 671, manifold plus case, is 11 3/16". The raised mounting surface, 1" injector plate, 2" spacer, and gaskets comes out to another 3 1/2". So the whole thing from the block deck to the top of the spacer is 14 11/16". Since my hood is cut it makes things easy to see. The top of the spacer is flush with the top of the hood.