what is the rated towing capacity of the CRV?
I had an Xtrail in the past, which had a 2 tonne towing capacity (which I know is higher than most other SUV's of that size)
We towed the boat (which is 2 tonne on a very dry day) with that without a problem. Not the best for the running gear to be doing that on a regular basis (which is why I upgraded) however it works.
With your situation, I would assume that the CT is ALOT lighter than our boat so you should be just fine, I guess where you might start to have dramas is when you take the combo offroad, but only time will tell!!
B