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The last safety the Rams could look at potentially targeting is former San Diego Charger Corey Lynch. Lynch is a bit of an unknown based on the fact Eric Weddle garners so much attention. Yet people shouldn't sleep on him.
He only made four starts for San Diego in 2012, but he was on the field for 505 snaps. When given the opportunity to man the strong safety spot on his own, he notched 21 tackles, four defensive stops and one quarterback hurry. Not earth-shattering numbers by any means. But when you turn on the tape it's easy to see that the flashes of potential are there.
At 27, he's the youngest of the three previous safeties I mentioned, and he would easily be the cheapest option.
The only risk you run with Lynch is that he has never been a starter and may could potentially break down because of it. However, if you look at it from the glass-half-full perspective, you realize he has less wear and tear than any of the other names mentioned.
All four players would be an upgrade to a depleted safety position in St. Louis, and they would all come at a discounted price due to the down free-agent market.