I don't know any tricks that will do anything for you with the stock exhaust, except make it louder. If I understand the state of your stock exhaust, you may need to chuck it in a vise, and then get maybe a needle-nose vice-grip pliers on the remaining internal tube and pull it out. It may take some elbow-grease. A tuned expansion chamber exhaust is really where you can get a big performance gain though.
But once you've settled on an exhaust system, you'll need to adjust your main jet for best performance at WOT, and after that, work with the needle position for your mid-range mixture. Just remember, any changes you make to the exhaust may require you to rejet the carb.
Which carb are you running?
Full disclosure - I have limited experience myself with the HT engine. I have mostly "book-knowledge" at present and more experienced members will be able to help more, and make us both more knowledgeable.