We want to transfer the title into the LLC name for the liability security that the LLC offers.

It's actually a policy that your company purchases that gives the tenant their own set of Liability limits and Personal Property limits while they rent from you. 

I do hope I can get it at much lower rate with decent liability coverage

While you are at this point, with so much time invested in the deal, you may want to continue on buying the house and keeping it titled in your own name, and getting extra insurance for the liability aspect, which is a benefit of an LLC.  

We have property damage and 1M liability (may be 2 million now not sure we may have increased it) with CBIZ We have 4 policies, rates range from $850/yr ($85K property) to $1700/yr ($300K property)Covers INCOME LOST due to fire or other damage for up to 2 years of proven income PLUS the replacement cost of building.

What the "few google searches" did not turn out is premises liability for Landlords, which may include natural, latent conditions that are present on the property if known by the Landlord and could have reasonably be fixed by the landlord.

The bank did not want the bad publicity or the any liability of a chemical contamination hazard and never disclosed any of this to us.

As a hard money lender, I will tell you that no hard money lender I know, including myself will let you 100%, since that is a huge liability for us.

We have no issues with the horses on the property, but are wondering if there is any concern over liability if the horses get loose and damage others property, get hit by a car, etc.  

We need liability shelter, hubby is a physician.IF it is safe, what kind of Trust?