Ouch! Don't pull the trigger unless you want to wear your TC. That's why they chamber Encore's for 'em and not Contenders. Of course, if you want to destroy your TC without destroying yourself, you could try getting behind a barrier and use the 100 foot long string trick. But then, it can be tricky getting the string around the cocked TC trigger without accidently setting it off before you clear the area.
Hey, I know...get an Encore and be happy!!!!
As far as the stuck case, I believe I'd pour some good quality penetrating fluid down the muzzle and let it set for a couple of days then try tapping it out. It can't hurt anything except the casing if you tap it firmly, yet gently. You don't want to whale on it and cause the rod to bend inside the bore and drive it into the rifling. If this doesn't succeed I'd try plan B as described in the other post. I don't think I'd ever shoot a steel casing in any quality firearm. Maybe the Russian's tolerances let 'em get away with it.
Good luck, hope you get it back soon.