You only need to hire a good and reliable cleaner and that will take care of 90% of the hard manual labor of running a STR business. 

Many professional companies are proficient at getting the property owner to walk away alot cleaner.

Have your business card printed with simple contact information and call yourself a handy-man; commercial building cleaner, whatever you want and just pound the pavement to small businesses and commercial buildings to offer to clean their businesses.Offer to do it for $10 an hour with a 2 hour minimum.

See, my crystal ball is at the cleaners, so I don't know what you expect unless you ASK QUESTIONS.     

I send my rugs to the cleaners 2x a year.

In my area it's not possible to hire a professional who would come and cleanup whenever it snows for a flat yearly fee, I usually hire someone randomly on a ad hoc basis and it always gets stressful especially when there is heavy snow and i just end up scurrying to find snow cleaners during a snow storm.I will be moving OOS soon due to my job reasons so I am planning to manage my home  remotely at least for the first year and then decide to either sell or hire s PM if needed , however it will be impossible for me to share any snow cleaning responsibilities with my tenants so I am at a loss on how to handle snow cleaning so I just wanted to know if it's okay to shift some or all of the snow cleaning responsibilities to tenants?

Do you have handymen and cleaners in place, ready to go as soon as the place is vacant?

If the place was excessively dirty, I would hire cleaners and charge the tenant.

She bought the special cleaner and everything.

The cleaner can restock during each cleaning.