There are two other options, one good and one very hacky which some people are using but most people won’t.
First, the good option: Home Depot now has a zigbee fan controller which will work with SmartThings. It has both a handheld remote and a wall mount remote which you would use instead of a wall switch. And it has four speed levels, not just three. You can read more about it and talk to the people who are using it in the following thread:
Lutron Canopy Control + Lutron Specialty Wall Switch + Harmony Home
The not so good alternative is using old tech mixed with newer tech but has the problem that if someone turns on the fan at the wall switch smartthings won’t know it was turned on. And it’s the most expensive of any of the approaches mentioned so far. But it does give you a wall switch that can control both the fan and the fan’s light kit.
There’s no direct integration in this method with SmartThings. Instead, you’re going to use an old style Lutron canopy fan controller with its own wall switch, then use the harmony home hub to control that wall switch, and then integrate the harmony with SmartThings. This does let you control the fan from the smart thing side, but there is that sync issue because the wall switch does not report to either harmony or smartthings when it changes state.
Now that the Hampton Bay option is available, I don’t think most people are going to have any interest in the Lutron/harmony option, but it does exist.
https://www.amazon.com/Lutron-MIR-LFQMT-WH-Maestro-Dimmer-Control/dp/B0017OAWQ0
That gives you control of the fan from a wall switch, but in order to get control from SmartThings you have to also have the harmony home hub, and it has to be in the same room as the Lutron specialtyswitch. If you already have a harmony home hub in that room, you can use it, but if not, you have to add the extra cost for that additional device.
https://www.amazon.com/Logitech-Harmony-Smartphone-Entertainment-Automation/dp/B00N3RFC4Q
But you still have to get the wiring right
Either of those might give you somewhat different speed levels than what you’re seeing with the Z wave devices, but you still have the same basic wiring issues.