I don't know if you are looking to do all this.....but a buddy of mine made a small trailer to pull behind his ATV. The trailer is just big enough for a large plastic dog kennel to set on and he left enough overhang on the front side of the trailer to put a bench. He can pull 2 people and 2 dogs on the trailer. But obviosly, you could only make it big enough to put the dog kennel on. He painted it camo, put on some Browning decals and away it went. He had 12 inch wheelbarrow wheels, a fairly heavy duty axel (for the weight), took two pieces of 1/2"X4"X18" and bent each one to make a V to attach the axel to the base and made a figure 8 out of angle iron for the base and covered it with a piece of diamond plate aluminum. It looks good and works good to get people and dogs in and out of the woods. I will try to get a picture and post it later.

 

I take my dog with me everywhere. I built a rack that sits on the rear rack and extends over. I put an air kennel on it and strap it down. Depending on how big your kennel is you could just put it on the rear rack and strap it down.