The ones that build out great companies build the skills, then they teach the skills to people to set calls for them, go to appointments for them and they continue to build out their company as a marketing/sales operation that is more fluid to create more revenue. 

I called my local insurance company, as well as two major companies and was told "good luck." 

You need a tenant segment with a high percentage of reliable people.

My vision for CountOnCam LLC is to be a company that would like to provide a shared housing experience for women and children, immigrants, and low income families.

To set the stage, I'm owner of a short-term rental property in the Poconos in PA and we use a property management company for bookings, maintenance/cleaning, guest management, etc.This past weekend we had a guest booking but when the guests arrived Friday evening the house had no running water, though it had been running fine earlier in the day when the Property manager (PM) was at the house to give a final check and leave the welcome packet.

You could also use "Doug's LLC and/or assigns" where Doug's LLC is your hypothetical company.As for the assignment contract, you can get one from an attorney for probably less than $1,000, you can also make a friend at a title company, they probably have a template they could give you.  

Who's name is the lease in, tenant or insurance company?

I currently pay a premium price for my turnovers for a local cleaning company that specializes in STRs.

Call up a couple companies.

Sadly, on BiggerPockets, some are quick to label companies as scams without real experience.