How do I rent to a business?

[Paul Kubin]

I own a small house in Arkansas that I rent out primarily to nurses (intermediate-term rental) and have a construction company that is doing a local project and wants to house one of their crews in the house for 3 months.  The lease is in the foreman's/VP's name (solid guy, good credit check, etc.).  Based on the terms of the lease, the company took out a commercial rental insurance policy for their time while there.  The insurance company wants the lease in the businesses name.  How exactly do I do that?  Should I put the company name in the lease as "Lessee" and the president of the company as a cosigner (after running his credit/background)?  I've never rented to a business.  

I have researched the company and are legit.  I'm using Avail, so this would be an amendment to the existing lease (once signed, you can't edit the lease, only amend it).

Thanks, everyone!