Let me try to figure that one out.
First, from the Tigers point of view. They are set in their outfield. Chances are that they will use him primarily as a bench player, unless one of their regulars gets hurt. We know that he is a right fielder, decent defense, above average bat. What they don't know is if he can play centerfield or perhaps left. So all things considered, why would they trade a known right fielder that could be very useful to them? It's not like capable bench players grow on trees.
For one, in a trade it takes two to tango. Sure, you can try it alone but then it will look mostly like the jitterbug. So if the Tigers are not thinking about trading him, a call from the Rays would have to be initiated. And let's assume they do. The first question on the Tigers' mind would then be, "how desperate are they?". The next to first question on the Rays' mind would then be, " how much would they want for him?".
From the Rays point of view. They are looking for a DH primarily. Sure, another right fielder that you can switch Joyce and Zobrist for is quite helpful. Until you start to think that Fuld can also play it. But assuming that you can play Zobrist at second on a regular basis (which I don't think is in the Rays' plan) that means that the Rays (read:Coach Maddon)will start tinkering with an outfield that may include Jennings, Zobrist, Fuld, Joyce, perhaps Guyer and Boesch. Because thinking that Boesch will become strictly a DH, refers someone that hasn't watched the Rays much in the last seven years. The Maddon era. Btw, I kinda like how that sounds...The Maddon era. Probably a lot more remembered than the McRae era, just a wild guess, if only because I have erased those years from my consciousness.
So what can the Rays give the Tigers in exchange for Boesch? Pitching? No deal. One of the regulars? No deal. Prospects? How many? Who?
Boesch is a Boras client. Strike one. Exchange one of the top ten prospects in the Rays system? Strike two. How 'bout one or two of the top 11 to 20 prospects? Ball one, high and in. Sort of another Escobar/Dietrich trade and perhaps another player to be named later? Foul ball. I seriously doubt that the Tigers will go for that. They have no need for that. And I also seriously doubt that the Rays might consider something more.
Bottom line. Can we use him? I think so. Would love to have him? Sure. Will we get him? As much a chance as the Rays re-signing Manny Ramirez.