Are you looking to get by inexpensively and just lighter duty off the road stuff, or would you like to be able to legally run it over the road as well? Are you using it mostly in the open, or do you need to pull it down some winding woods trails? Both those considerations will have a lot of influence on what you end up with.
Your CK3510 is similar in size to my NH TC33D. 5 or so years ago, I bought a
Polar Trailer model 8262 to pull behind my Coot (an antique ATV - sort of a precursor to a Gator or similar). The trailer is rated at 1500#, has a walking arm suspension and a manual dump (that is well balanced for dumping by hand). It is a very good match for the Coot. I've hauled gravel, dirt, firewood, tools in it. Prior to that purchase, I had been using an old Rubbermaid cart, but that doesn't hold much. Shown here with the optional side extenders and ball hitch installed:
It's small enough that I can pull it behind my Garden tractor, if I don't load it too heavy. I figured I could use the Polar behind my tractor if I didn't have a need for something bigger - it's definitely too small to make good use of the tractor's towing ability, but handy if I just need to move a few things and don't have room in the bucket (or don't have the bucket on). The pin hitch would not fit the tractor drawbar, but works well with one of those draw bars that goes between the the lower 3 pt arms. I've since converted it to 2" ball hitch (simple bolt on conversion, no drilling or welding). It's on sale at Northern Tool fairly regularly, especially if you are an Advantage member (currently $110 off and free shipping).
Polar model 8233 is identical except that it has a single wheel on each side and is significantly less expensive. It's also easier on your lawn, if you care about that (I don't). The Walking arm model 8262 sometimes scrubs a little going around tight turns on the lawn. The model 8233 can be converted to an 8262 by just ordering the walking arm parts. You can switch back and forth between the two set-ups without tools.
Depending on your usage, there are trailers out there that are a far better match for your CK3510, but if you want it to do double duty behind lighter equipment as well, it may be an option.
I ended up also buying a 3500# rated dump trailer to use behind my tractor. If I add lights, I can make it street legal. I just haven't gotten around to that yet. Since buying that, I almost never use the Polar behind my tractor anymore (the dump trailer is narrow enough that it makes through the woods fairly easily)