Sorry for the confusion...
1) "I am a NY PE, not a home owner." then "I am designing a structure for MY OWN RESIDENCE" ? I typically mention that I am a PE, not just a homeowner looking for a quick answer on here. I say this to let any potential responder know that they should not shy from talking engineering speak. I come here to get direction on where to look to start learning and figuring out the answer to my question, not to get the answer.
2) By "Brute Force" I mean to sit down and design, for example, a simple wood beam rather than using prescriptive codes and span tables. To the best of my knowledge the NYS residential code does not account for Steel Beam span tables, and must be engineered (I could be wrong, but I don't see steel tables in NYS res code like some have referenced to in the Canada code?). Therefore I was looking for a means to start to design the beam. I can take into account the load combo's required to determine the deflections and beam sizes, but never having actually specified one in the past and I am not sure how it would be connected if more than one beam is required along the length of the building.
3) I do have both code references, but I was looking for some actual feedback from professionals that have spec'd this type of beam/construction in the past. Possibly avoid roadblocks or hurdles before I encounter them.
4) Yes, garage has slab (if no basement underneath), but not mono/alaskan. Would be 4ft CMU (if no basement underneath) or 8ft CMU/Concrete with basement underneath. With hollow core modules no beam required. If I go with wood substructure (similar to barns and older homes with basements under parking areas) I would have a beam, possibly steel.
I am purely looking for the means to an end to calculate member sizes and connection types for the ideas I had for my addition. I look online for design ideas and then try to figure out if they are economically feasible. Being that these are my own projects (proposed, and wished for, perhaps never coming to fruition) I have the freedom to think of any off the wall idea, and design around it without any economical consequence becasue I am purely going through Ideas for my own use that will most likely never get built. Asking questions here also helps me to get to a starting place that other ENGINEERS start, or to get publications that other ENGINEERS use. By doing a simple search online I typically get homeowner/home inspector/uneducated opinion crap with no engineering basis.
Sorry for the long winded response here...