As said above, The Meridian is the Journey's sister so it might widen your search. I see 3 available on RVT that fit your search.
If you go to winnebagoind.com and select "resources", you can get brochures by year and model.
This will give you the specs. You can also download the chassis information from the columns on the right. For instance the 2012 34Y had the 340hp Cummins ISB and Allison 2500 and as stated above, a very lean GCWR of 33,000 lbs. To tow over a 5,100 lb trailer would really eat into your cargo capacity. Any of the larger models (36M, 40U, 42E) put you up into the Allison 3,000 and a full 10,000 lb tow capacity beyond your gross vehicle weight, and the 36M is only 36'8".
