The filing of probate and judgement of possession can happen in about two weeks, therefore heirs have the ability to sell pretty quickly. 

If its not included in the judgement, I'd be hesitant to deduct them.btw: If  the eviction was simply a 30 day notice to terminate the lease because you wanted a new tenant and not for failure to pay, then you likely only have a judgement of possession.

With a renter, they will not be able to give you possession of the home at closing - which is what most purchase contracts explicitly state.So you should have final say as to the tenant seeing as how you're going to have to inherit them as part of the purchase.  

If the property is in Michigan it's a 7-day Notice "Demand for Possession - Nonpayment of Rent" I believe.

Your biggest concern is getting possession back and getting the relatives to take or waive rights to the belongings so you don't have to store it.

Having worked extensively in this domain as a financial and reporting side, I possess a knowledge that I'm more than willing to exchange for your valuable time.

My question is, when am I able to take back possession legally of the home? 

The escrow remained in the possession of the title company throughout the period of the court procedure, which has just ended, with the title now clear and ready to close.

If traditionally financed, you should probably take possession in your name and then deed them to the LLC.Do you have an aversion to creating an entity?

If you can't get a quit claim from the owner, you could take possession of the lot and do an adverse possession claim in 15 years.