Haha, don’t feel too bad, vaulted ceilings are notoriously tricky for mounting anything, especially when you’re dealing with heavy exercise equipment. I went through something similar when I tried to put up a pull-up bar in my apartment; the amount of patchwork I had to do on the wall afterwards was embarrassing. In the end, calling a professional was the smartest choice because they know how to locate joists and install safely without leaving extra damage behind.
If your guy does a good job with the pole and backsplash, that $80 will feel worth every cent. In Singapore, I’ve seen people recommend PS Handyman Singapore for these types of tricky home tasks since they’re used to handling installations that require precision. You can check them out here: https://www.pshandymansingapore.com/. Having someone reliable saves you both the stress and the repairs later on.