If you would like to do private sector entirely (nothing related to the FAR), then I would job search "Procurement". Private companies have a profit motive and often procurement agents are integrated with the business planning team since procurement represents expenditures and often performance. Changes are easier to make and just must adhere to company policy, the UCC, and what legal might advise. Depending, competition requirements are much more relaxed as well, and negotiations can happen more quickly and deeply. Procurement professionals are in high demand.
I made more money in private sector procurement, but the benefits were not as good as the federal government. Also, people do not like to hear this one... I worked loads more! There was an upside though. The sky is the limit in the private sector if you are ambitious. Our Chief Procurement Officer made shy of a million $ annually. SVPs made $250k-450k. VPs made $180k-250k. Directors $120-180k. Managers $100-160k. Seniors $80k-120. Specialists $60-90k. Buyers $40-70k.
There weren't many real benefits though. Crummy healthcare and retirement. 2 weeks of vacation a year. Bonuses comprised some of the salary potential and is a huge issue if you have an unsympathetic boss. Hiring and firing takes weeks, not months or years.
Instead of Congress, you have the Board of Directors and the C-levels (and all of their shenanigans and motives) to deal with.