I would be careful about assuming a glulam would work. You state you have 5 inches of depth to work with. If this is accurate, then the largest glulam you could use would be five inches deep, unless you extend into the floor above. I assume there is a maximum width you could work with also, because of the block width, and not wanting to extend into the room, but perhaps this is not an issue.
In any case, a five inch deep glulam is not likely to provide anywhere near enough strength for your application, but of course you are going to check this with your structural engineer. I would ask them to consider a steel beam, more likely to work in this case.