Immediately do a cash out refinance on it before you have to take title to the other replacement. 

Grandmother puts my name on title.

Plus is complicates a lot of issues, more documents needed for title, etc.Now they can do all those things, but most people are too cheap to do it correctly, and all these people telling you to do it yourself, probably don't know how to run the LLCs correctly to stay out of trouble.It's not all that complicated, but it does take some work and a good attorney will guide you thru all this. 

I have a property that is held as Tenancy-in-Common with my sibling on the title, let's say for the sake of example that I own 70% and the sibling owns 30%.  

In my state that would be an expensive change as I would be paying state transfer tax on the move along with other costs plus I would need to consider whether I wanted to buy title insurance on the property for the new LLC.

Do I find the title company during the inspection period?

I believe setting the precedent upfront solves what could be serious issues before they even apply by giving them a rundown on some of the big key aspects of what the process looks like a head of time.Big indicators are verification of identity and verifying the references for documents when needed.

You probably won't have survey requirement because you can re-use your old one, and usually you get a credit for title insurance if refinancing within 2-3 years of your original purchase.  

You could set up a “deferred down payment for 12 months” or have a stepped up down payment (so much per month until number is met) It's really whatever makes sense for the two of you.Things to consider, property taxes have to be paid, repairs have to be made, vacancies have to be accounted for, insurance has to be in the name of the person on title.

Our realtor and the selling realtor are both saying we can’t walk away and that the relocation company is going to sue us because we are completely approved and docs are with title.