Small staffing firms placing into industrial. What's actually working for fill speed against Aerotek-tier players?

We run a 14-person staffing firm out of Ohio. Most of our placements are skilled trades into mid-size manufacturers and a couple of food processing plants. Aerotek shops the same accounts and we lose on speed maybe 60% of the time. Their bench is just deeper.

Trying to figure out where to invest. ATS we like, sourcing is the problem. We have a Bullhorn seat, run Indeed Sponsored, and pay for LinkedIn Recruiter that nobody on the team really likes.

For the smaller and mid-size firms here placing into manufacturing or industrial. What's your sourcing stack actually look like in practice? And how do you compete against the agencies with 10 times your bench?