TBBC bullets are not traditional "cup n' core" construction. Anything that has the word "bonded" in it does not fit the description. To answer your original question, any 35 caliber bullet that is designed to expand, and not meant for a pistol/revolver, will meet your objectives. You really don't need to go with a premium bullet, but if it makes you feel better, go for it. The bear is not going to complain one way or the other, unless your shot placement is off.