Years 2010 and 2011 manufacturer said yes, not to exceed 65 mph and start engine and run the engine at fuel stops to lube the trans. I towed a 2011 for approx. 20k miles. Only problem I had was an occasional dead battery. Added a "toad Charge" from ISL products and no more issues. But and again I say "BUT", year 2012 with same engine and trans. they no longer said it could be done so they may have discovered some thing. So I bought a Jeep as my toad but still have the Lacross. If you decide you still want to do this I have a Road Master base plate for 2011 lacross I would be willing to part with, PM me if interested.
Blessings keith
06 Holiday Rambler Ambassador
2016 Ford Explorer twin turbo