Not hard to find the specification for that prop, you do a quick internet search for what turns up using that part number, a little patient persistence and paying attention to detail will get you the info you need.
The part number you gave is universal enough that you will find the same specs of prop diameter, rotation, and pitch I believe for any props that use that number.
The internet doesn't work for all situations and sometimes not even forums, but very common parts such as you listed are very easy to pinpoint their specifications.
If you are running a Mercury/Quicksilver prop with quick replace Flow Torque hub kit, you simply buy the correct hub part number and swap it out.
I would recommend though first using a punch and making a mark on a non-critical area both on the hub and one the prop itself in one line to rule out spun hub.
https://www.youtube.com/watch?v=d7Lz7cI-srQ is probably an adequate video to demonstrate the concept.
Personally, I think your boat is over-propped with that 21 pitch for a 22 ft deck boat with only 150 HP outboard. Not to mention it is not number of people that matters, it is the total weight of the passengers, gear, fuel, etc that affects boat performance and safety.
However, you won't know for sure until you get the throttle within the max safe rpm range for wide open throttle defined in the owners/service manual with the typical gear and passengers onboard.
If the motor rpm stays stable in the "safe spot" for the max rpm range with the boat at optimal trim for best rpm & speed and the throttle is all the way, then that's the "sweet spot".
If you buy a prop pitch for the purpose of people towing, make sure those using the boat are trained to keep an eye on the tach and not exceed the safe max rpm.
There's plenty of good affordable new Stainless Steel prop solutions around but you're going to have to open the wallet a "wee bit more". Otherwise its aluminum only for your budget. (Past a certain high HP limit on use applications +200 hp, stainless steel becomes the only option).