Man, that saw is duuuurty!!!!!!!!!!!!
I dont think Ive ever personally seen one that messy. I know after 20 years of work, I completely went through my dads XL, but there was no sap or oil buildup, just the case was packed tight with oil/chip cement..
Id strip it as far as I could, and take the carb/ignition off, and anything else. Then Id stuff cloth in the ports, and soak the case in Greased Lightning or Simple Green, then pressure wash the thing. Id be prepared for some paint to chip off, but thats no biggie.
Just dont force water into the engine, basically concentrate on the case.
Alot of people forwn on pressure washing saws...but its just water, and some compressed air, and WD-40 does wonders to remove all traces of mosture.
I cleaned my Poulan 306A like this.
I removed the ignition, carb, covers, flywheel, clutch, bar/chain, muffler...then sprayed it every 5 minutes for a half hour with Simple Green Automotive, then pressurewashed it with a 10 * tip, 2400 PSI. Then sprayed the motor down with WD-40, and gave it a thorough blowing off with compressed air, and it cleaned up like new. Put it back together, and it fired right up.