That's what we tow...with our 30' LY...also a 2005.
When we purchased the LY 2 years ago, neither of our vehicles were towable. So the search/research began. We found good information in an annual toad review...found online. Do a google search & you'll find more info than you can read
The CRV worked best for us because we wanted to tow 4 wheels down (no dolly) & Honda allows towing with out voiding the new car warranty. That's with an automatic transmission....more choices with the manual transmission. The LY pulls the CRV just fine..it's easy to forget it's back there & no big drop in milage. (from 11mpg to 10mpg)