The tree trunks being gone is going to make it harder. If I was doing a lot of them I would use a excavator. However, the stump bucket will get it done, especially with a skid steer. Your tractor is larger than mine and should work better. Come at the stumps from various directions. Try to keep all 4 tires on the ground. Lifting the front end off the ground and then prying out the stump using the front of the tractors weight to pry up the stump is a good way to pop a hydraulic hose. Take your time and it will do fine. As you have pointed out you will have the bucket for a variety of uses when done with the stumps. Personally I think its a great tool to have around.
Using a L3560 I have literally done hundreds. Bodarks (Osage Orange) up to about 14 inch. Elms up to about 12 to 14 inch. Cedars 18 inch or so. Have used it to transplant 6 ft tall fruit trees, 8ft tall redbuds, and various shrubs. Has worked great for ripping up quite a few concrete driveways and patios. Soils around here are clayish.
Mine is from Everything Attachments and has been worth every penny.