I work in the industry. Let me give you a barebones timeline of the process, for, say a waste-water treatment plant, funded by the Feds:
Day 1, year 1: Need is determined.
Day2-182, year 1: Specifications are drawn up(very generous here, this is an emergency WWTP).
Day 183-365, year 1: bid is announced, documents are available for bid.
Day1, year 2: Bid date
Day 182, year 2: Contract award is announced, documents and drawings are finalized.
Day 1, year 3: construction starts.
What a no-bid job entails is a cost+ project. On these, I would guess it is cost+3%, with an inverse bonus scale for total cost. This is the best, and only quick way, to get work done.