I am removing a center post on my patio cover to create a clear span of 15'. The current beam is 2 2x8s with three 4x4 posts. I have had a engineer friend calculate the load for the roof (pic attached). His recommendation is to replace the beam with 3 2x12s to support the roof loads and eliminate the middle post. Posts will become 6x6s.
My question is: What would be a suitable beam replacement for the suggested 3 2x12s? My goal is to find something that will be less tall than the 11-1/4" of the 2x12 beam since the existing patio cover beam is pretty low.
My thought is a wood I-joist or LVL, but I haven't worked with them before and am having trouble finding specs.