(b) Following award of the design-build contract, except for those construction subcontractors listed in the statement of qualifications or proposal, the design-build entity shall proceed as follows in awarding construction subcontracts with a value exceeding one-half of 1 percent of the contract price allocable to construction work:

1. (1) Provide public notice of availability of work to be subcontracted in accordance with the publication requirements applicable to the competitive bidding process of the department, including a fixed date and time on which qualification statements, bids, or proposals will be due.
2. (2) Establish reasonable qualification criteria and standards.
3. (3) Award the subcontract either on a best value basis or to the lowest responsible bidder. The process may include prequalification or short-listing.