Is nasal tip (drooping nose) rhinoplasty less expensive than other types of rhinoplasty?

... for a couple of reasons. Shortening a long nose is one of the most complicated procedures to accomplish, so it can be most of the work on a nose anyway. And further, it's just exceedingly rare that the tip can be brought up, and the rest of the nose requires no change at all!Be sure to read the section in the "Learn more" link on how to stay out of trouble while searching for a rhinoplasty surgeon. You should only have surgery if you are able to make yourself very confident in your surgeon's skills. Read that page very carefully. Most plastic surgeons are quite poor at this operation, and I believe my advice will go a long way toward keeping you safe.
Finally, I usually make computer morphs when I'm answering a RealSelf question, to show the changes that are possible for your nose with a rhinoplasty. For example see this page:FacialSurgery.com/RealSelf/RealSelf_Morphs.html
But of course you didn't post any photos. At the *very* bottom of the "Learn more" page is a link to instructions on taking photos that are comprehensive and useful for online consultations like this, in case you'd like a more complete evaluation.

Performing just a tip rhinoplasty may result in a slight decrease in price, but usually not a lot. Most of the cost of the procedure is getting into the operating room, getting put under anesthesia, and the dissection of the nose. The tip is usually the hardest part of rhinoplasty, while reducing a bump is more simple and straight forward. Be sure to see a rhinoplasty specialist for consultation.

Most surgeons have a fee for regular rhinoplasty and another for tip rhinoplasty.  In some cases, tip rhinoplasty can be just as lengthy and detailed, so there's no cookie-cutter answer to your questions.  On average however, in our practice, we charge less for tip rhinoplasty than the full operation.