We've towed our 2003 CRV since 2006 and love it.
I use the Ready Brute towbar with inertial braking coupled with a Blue Ox base plate on the Honda. Fast and easy to connect and, when not towing, it looks fine.
I've towed in mountains, plains, twisty roads, and many types of weather with great results. I do start the engine and shift through the gears ever 4 hours when stopping for gas or a break. I have not needed to pull any fuses, just make sure everything is turned off (radio, A/C fan, etc).
Like others, we love our CRV for similar reasons previously mentioned.