You say that you are getting private financing from a family member, but that there will be a deed of trust. A deed of trust suggests that the lender is recording a lien on your property. Are you giving the family mamber a mortgage on the property as security for the loan you are receiving?
If so, then by all means, purchase lender's title insurance, and at the same time purchase an owner's title policy for yourself.
In the event you lose the property due to a defect in the title, the lender's title insurance protects the lender from financial loss while the owner's title insurance lets you recoup your equity.
Even if you were not using any financing to purchase the property, you still want owner's title insurance. Buying both the lender's title insurance and the owner's title insurance at the same time gets you a package discount on the total cost of the insurance.