If you store it with fuel definitely use stabilizer and run it a bit with the stabilized fuel if you will keep it in your tank and engine.
This is a help as well:
and this:
Here is what snowblowers direct says:
Snow Blower Covers
How to Properly Store Your Snow Blower
There aren't many things worse than getting the first big snow fall of the year, going to your garage to fire up your snow blower and having it sputter.
The best way to ensure your snow blower starts in the winter is to store it properly in the spring.
If you follow these two simple steps, your snow blower will ready when you are next winter.
Run the Fuel Dry
It will be six months or more before you use your snow blower again.
Don’t even waste your time adding fuel stabilizer to your gasoline at the end of the season. Instead, remove all the fuel from the tank so the carburetor and fuel lines don't gum up.
Take your snow blower outside and run the gas tank dry. Try to start it again just to make sure that all of the fuel is out of the system.
Cover It
You spent hundreds of dollars on your snow blower. Why not spend a little extra money for a quality cover?
We carry two cover sizes. You simply select the cover based on the width of your auger.
Small covers are designed for all single-stage and smaller two-stage snow blowers with an auger diameter of 24-inches or less.
Large covers are built for two-stage snow blower greater than 25-inches wide.
These covers are specifically designed to fit snow blowers. They also are designed to stay on the machine, usually by an elastic cord built into the bottom. These covers will prevent sun damage and dust from harming your machine.
You pick how you want to store it...seems to be two schools of thought on this one!
I would say go with how your manual recommends how to store it if it is more recent.
Otherwise I would err on the side of caution and drain it empty method.
Lastly here is a briggs storage checklist for offseason which can be used for different types of equipment although they use mower as an example:
Storing Your Equipment
Perform some simple seasonal storage and startup maintenance in the spring, fall or whenever you store your equipment for prolonged periods of time. Use our handy equipment storage checklist to help you store your equipment properly.
Equipment Storage Checklist
Fuel
- Top off the fuel tank before storing.
- Filling the tank helps prevent moisture from condensing in your fuel tank, and stops rust and scale before it starts.
Before you fill up, add
Briggs & Stratton's Advanced Formaula Fuel Treatment & Stabilizer to the fuel.* Then, run the engine for a few minutes to circulate the additive through the carburetor. The fuel stabilizer will help prevent gum from forming in the fuel system or on essential carburetor parts.
Oil
- While the engine is still warm, change the oil and the oil filter (if equipped).
- Briggs & Stratton 4-cycle motor oil is available in two sizes, 18 ozand 48 oz, and is available through your local dealer, retailer, or online.
Battery
- Disconnect the negative battery cable from the battery terminal on units "(if equipped)".
- Remove the battery. Your battery should be stored in a cool, dry place.
- Clean the battery terminals using a terminal cleaner, and coat all terminals with a terminal protector. The terminal cleaner and protector can be found at your local Briggs & Stratton dealer, auto parts store, or hardware store.
Cleaning Your Equipment
- Don't store your engine dirty. Clean the engine surface of debris, chaff or grass.
- With the spark plug lead removed from the engine, use a garden hose to wash away any residual grass clippings.
- Once the majority of the grass clippings have been removed, it will be easier to identify a clump of grass that may be interfering with blade motion.
- Using a wooden stick or other implement other than your hands and feet, remove the offending material and wash the deck thoroughly.
* Note: if you choose not to use the Briggs & Stratton Fuel Stabilizer, or if the engine is using fuel containing alcohol, such as gasohol, remove all fuel from the tank and run the engine until it stops from lack of fuel.