It depends on what your release criteria are for your isotopes. Consult your training manual (or Basic Radiation Protection by Golnick) for MDC and MDA calculations.
Are these environmental release samples or eco-nutjob grab-a-headline study? The Univ of New Mexico wanted to build a Peace Memorial on nuclear free ground in the 1990's. The problem is there are trace amounts of nuclear fallout on every square inch of real estate. They quietly restated the siting requirements.
This is the story behind pre-atomic lead. All lead mined after July 1945 has (or may) trace amounts of radioactive fallout.
You can lower your MDA by increasing your background and sample counting times. As long as you below your release limits, don't jack up your counting times to 1000 seconds.
Normal DOE 20 DPM alpha, 200 DPM B-G.