Funny you are asking about a Kodak. I'm selling my 05' Aerolite hybrid, and buying a new 12' Aerolite hybrid. Camping nearly 360+ nights since new, it has held up great. The Kodak's and Aerolites are the basically the same trailer.
With a 16' Kodak your only going to have a single axle which will cause a more "bouncy" ride. With 2 axles which will be found on floorplans of more than 20' long will smooth out the ride and help in off-road travel.
The Kodak's and the Aerolite's did offer a "off-road" package which included: 8" body lift kit, extended jack and stablizers, double entry step, larger heavy-duty tires. I have the 05', 06', 07', 08' and 09' catalogs which shows that option.
For dry camping the 46 gallon fresh water tank is a real plus. You will not find a small tt / hybrid with a tank that large. Our new 2012 now has a 52 gallon tank. Be real careful on other brands as far as there fresh water tank size. Some are as small as 22 gallons. The Jayco Fay-Feather hybrids are only 28 gallon including the water heater. The Chalet or Aliner run between 15 and 25 gallons. We also camp sometimes at NP. or State parks without shower facilities and are good taking 12 showers (3 people) without running out of water.
One negative might be that up until about 09' or so they used the Euro frame which is nice and light in weight, but sits lower to the ground. So "ground clearance" will be lower. Our new 2012' has a regular "I" beam frame and sites about 4" higher.
Would be nice if you found a used Kodak or Aerolite with that "off road" package.