GB, on a whim I tried the Garrett BFO coil on my TDI. It's a dual 5+12, the 12" reads 120uH and the 5" reads 140uH. Each coil can be run individually as long as the idle coil is dampened to keep it from ringing. Sensitivity is poor, 4-5 inches on a nickel, but I did not re-dampen the active coil, and I'm sure it's overdamped and reducing the sensitivity. Furthermore, the ~3 ohms of coil resistance is limiting the turn-on current; the TDI has an internal 2 ohm series R that could be shorted to compensate for this, but the SL has no such resistor.
So the short of it is, yes, it will work. And with some tweaking, it may work OK. But those tweaks will likely make the stock coils not work, unless you add a way to switch the damping R. Also, running the Garrett coils in series could also work, but would require each coil to be dampened to get to an overall good decay. And then, the 6 ohms of coil resistance will be a problem you can't solve.