I understand now. Yea I would just get a list of 2-3 suppliers in the area of your project and contact them (most have forms you can fill out online with the building size) ideally by phone given your deadline. If you give them the building information you are looking for and let them know your timeline along with your critical information that you need (i.e. roof beam depth) I don't see why they cant get you that information in a week. With that said, I have never dealt with PEMB specifically but the many suppliers i have dealt with are usually receptive and understand deadlines. Seeing as how these are supposed to be pre-engineered, beam sizing should be something fairly typical that they could provide.
I would avoid designing something yourself and submitting that for a multitude of reasons. One, its work that is outside your scope that it doesn't seem like you have the timeline to do. Two, it sounds like that is driving the architects decisions so if you give sizing that is not right and have to come back later with a deeper beam, you will be on the hook for the architects time to redesign, so ultimately more liability for you and your company. I would leave that to the PEMB company to take that risk.