I have done exactly what you are trying to do. As a matter of fact - you have seen the results.
1. We used a compact track loader to work around the base and push them over. Takeuchi TL150 with a tooth bucket. We cleared a WHOLE bunch that way. You end up with a big pile of trees and a lot of stump holes.
2. We used a track hoe. We were digging a tank - and a track hoe will clear them without a problem.
3. Dozer - push them over - stump holes, etc.
4. 180hp Fecon mulcher - can turn a fully mature cedar tree into toothpicks in 30 secs. Nothing to burn - but you have stumps. Depending on how deep the mulch is - the stumps might be very tall or you might never see them.
Cedar stumps are much easier to remove when it is dry. I have gotten so when I can tell they are loose - I cut the roots on both sides and knock the whole thing out whole.
I am currently removing stumps with a Kubota SVL75 with a stump grinder. The mulch is low enough I am tried of tearing equipment up.
I am also clearing mesquites out at my other place. A tree shear on the front of a compact track loader - a guy on a grapple can't keep up. One can clear a whole bunch and if you get good with it - the stumps will be at ground level or lower.
How many trees are you talking. 100 or 200? A CTL with a shear on it you could knock that out in a week. Now the problem is piling them. You really might need two machines. One shearing and one piling. When those cedars burn - they burn hot.
That 180HP Fecon mulcher - we clear around 50 acres in a week. Nothing to burn - gone. Now I am messing with stumps. Either way you end up with stumps.
Do you want to plow the whole place? Get a dozer and push them all over. Shove them out of the way and get it done. Pile it up.
If you dont want stump holes but are OK with some short stumps here and there - rent a CTL with a tree shear. I cleared 30 acres of mesquites in two weekends.
I know renting gear sucks and we all want to own our stuff. For less than what adding a backhoe on a tractor (way less) you can have dozer delivered for a week or a month. Push all that crap and be done with it. Then you can fool with cleaning it up, burning, etc. Make a donation to your local fire department and have them come help burn.
D.