Yes, Bayh-Dole does authorize government intervention to control price. 35 USC 203(a)(1) authorizes federal agencies to march-in if a contractor has not timely achieved or is not likely to achieve ''practical application." https://twitter.com/bormanandco/status/1348344062437449728

35 USC 201(f) defines practical application as use of an invention "with benefits available to the public on reasonable terms."

Reasonable public terms simply has to include price. What other terms would the public care about?

The government doesn't "control" price by fixing price, but rather by intervening when a price is not reasonable and compelling licensing to others--competition--or compelling an exclusive license to a company willing to sell at a reasonable price, or granting licenses itself.

NIST's proposed regulation to prohibit the government from 35 USC 203(a)(1) march-in to address unreasonable pricing strikes at the heart of Bayh-Dole's policy to give the government rights needed to protect the public from nonuse and unreasonable use. 35 USC 200.