Not familiar with the Titleist adapter, but have pulled TM, Callaway, Adams and Cobra adapters no problem. Some TM adapters have plastic ferrules that melt but are easily replaced, all the others have been metal making pulling easier.
I use the screw that holds the head on (or a longer version if needed) and put it through a washer, I then use my shaft puller to pull the washer. Only use a heat gun for this and a good shaft puller.
Before you start make sure your adapter is the size of your new shaft, if not, just purchase the correct one, ebay always has adapters.