Although i love to burn candles, depending on the type your asking for problems big ones! At work one day i had been talking with co workers about these black shadows that were appearing on my ceilings and higher wall areas. They seemed to in the corners and along the stud supports , i could even see what i thought to be where all had been nailed. There would be dark shadows perfectly straight across my ceiling and then real dark circels every few inches within the lines. I thought it was the propane heat but learned quickly that oil heat will do that but not normally propane. A co worker brought me a magazine with a huge article about candles and what actually burns off them when lit, an ashy soot that is attracted to the areas on walls and ceilings that omit the most heat or warmth, of course where the drywall and studs meet and corners of the room. Its been about 8 years since i painted the entire house. I started bending to my love for candles again in the last 3 years, surprise i will be spending part of my summer re painting again!! No more candles ,well maybe at the holidays LOL
The short answer is yes, duct cleaning, done right by a reputable company will help with the smell. It is likely though the smell is coming from another source, ie the crawl space. It could also be that another rodent is dead in the duct work. A visual inspection would be in order to check for any breach in the duct system. A duct pressure test would be able to tell you how much air is leaking from the system over all. A hole large enough for an animal to enter would loses a great deal of air, over 300 CFM. It would be worth looking into having this test done and it should cost around $200. Cleaning the air handler and evaporator coil will greatly improve the performance of the air conditioner. Dirt and dust on the evaporator acts as insulation and reduces the amount of cooling done be the coil. Any quality duct cleaning should include cleaning the air handler and coil, and the tech should allow you to watch him perform the work as it is done.
You may consider having your air ducts cleaned simply because it seems logical that air ducts will get dirty over time and should be occasionally cleaned. Provided that the cleaning is done properly, no evidence suggests that such cleaning would be detrimental. EPA does not recommend that the air ducts be cleaned routinely, but only as needed. EPA does, however, recommend that if you have a fuel burning furnace, stove or fireplace, they be inspected for proper functioning and serviced before each heating season to protect against carbon monoxide poisoning.