Federal Construction contracts are let in many forms ranging from traditional design-bid-build to construction management with fee to construction manager at risk to design-build.
Keep in mind that construction licensing laws are local and state laws and thus Federal construction projects are exempt, so scanning through license records will not provide a complete list.
As a practical matter, many Federal projects are specialized, and the contractors who perform the work don't take on other types of projects, so the companies are not well known.
Top it all off with some projects being handled without bid, or added as change orders to existing projects or simply classified and never even published.
My recommendation would be to find a domain expert, I only know what I know because I've been with firms that don't pursue that sort of work architecturally based on the reasons I mentioned. Though I did once interview with URS Griner for a position that was focused on DoD work. We were not a good fit.
Anyway, good luck.