DCFed

That's why I said to see if it's possible. I didn't say that it would be smart, or even possible. If a CO was to sign a contract including such a fee, though (however unlikely), it seems the arrangement would satisfy the presenting concern.

As a young 1102 some years ago, more than a few contractors tried to hire me away from the government. I stayed because the government offered me something the contractors couldn't. You should offer your employees what the government can't. Short of that, you could see if it's possible to negotiate into your contracts a recruitment fee, payable if the agency hires your employee.

T&M and IDIQ are not mutually exclusive. You can have an IDIQ contract where you place T&M task orders (16.501-2©). In the case of a translation service with a fixed hourly rate, you could write the task orders to be either T&M (really LH) - ordering the number of hours you need for each job - or FFP - ordering each hour as its own fixed-price unit.