Seems to me that if Philly does not tag Sam he will fully experience FA. I think we can assume that. I also think we can assume the only interest the Rams will have is a 2-3 year deal due to the fact they cannot trust Sam to be healthy and would only be seeking a bridge at QB for the rookie they still have to draft.
The question really is whether any team will throw a longer term deal at Sam. I have to assume that will happen, at least that it is likely. Let's say 75% chance since that seems about right. So in the 25% chance range where Sam does not get the bigger length contract (4-6 years) he will be looking for, the Rams might be a surprise team in the running for his services.
It's a major longshot, but what I'm saying is the more I think about it the more I would not rule it out. There is a relationship there with Fish, who was good to him, probably too good to him in his refusal to bring in competition. There is the allure of LA. There is a rebuilt OL that only gave up 28 sacks last year. There is the best young RB in the league taking handoffs from him. There will be more talent at wideout, finally.
Disclaimer here is that I would not do it and think that ship has sailed. But looking at it objectively I do think it could happen and a QB room of Bradford>Keenum>Rookie would be decent for a year or so until the rook is ready.