The Patriots could get a lot of value if they trade Jimmy Garoppolo, but history shows that acquiring a high-profile backup QB can be risky. (1:24)

Jimmy Garoppolo has taken 235 regular-season snaps and 422 more in the preseason since the New England Patriots made the former Eastern Illinois quarterback a second-round pick in 2014. Those 657 snaps weren't enough for Garoppolo to prove that he can excel over the long run as a highly paid NFL starter. However, they could be enough for QB-needy teams to prefer him over 2017 college prospects with zero experience in pro-style offenses such as the one Garoppolo ran impressively as Tom Brady's replacement this past season.

Only the Patriots know to what extent Garoppolo is available via trade. Although there is no league consensus on that front, conversations with five NFL decision-makers produced some agreement over what Garoppolo should command in a trade and which teams might be most likely to pursue a deal. With these league insiders' input, I've put together potential Garoppolo trade offers for six QB-needy teams -- the 49ers, Browns, Bears, Jets, Bills and Texans -- followed by the insiders' thoughts on which proposal would make the most sense from New England's standpoint.