I have some experience with Suncadia. We go there every year, love the pools and its an awesome place. We did the real estate tour about 5 years ago and were looking at homes in the $600k range, should have bought as they are now about 2 million. We ended up buying a STR in Scottsdale instead.
We did the real estate tour again 3 months ago but with the amount of cash we have, the home we want to build will be about $14k per month so I projected that it would lose money.
I would suggest doing the real estate tour, its really the only way to see what they have as many listings that are not on the MLS. They will try to sell you hard though.
Here are the details of your questions though.
You will be required to pay about $400 per month HOA, this gives you and your guests (who are staying with you) access to the 4 pools. You can use the pools as much as you want.
You have 3 options for Property Management - Suncadia, a local PM or do it yourself.
#1. Suncadia takes 42% of all revenue. They market your property and do light repairs. Guests get access to the pools. They do stuff like, they list your property on Hyatt and can take points. This will give your property the most exposure.
#2. Hire a local PM who will take 20-30%. They will list house on Airbnb and VRBO (maybe they have their own website) The kicker with this is guests do not get access to the pools.
#3. Manage it yourself and you list home on Airbnb/VRBO. Your guests will also not get access to the pools. They have an ID card with your picture on it so you cant even sneak in guests.