The state treasurer may designate any solvent trust company or other solvent financial institution having trust powers and with offices located in this state, as the state treasurer’s depository to receive and hold any general, special or excess deposit of an insurer under N.M. Stat. Ann. Chapter 59A, Article 10. The deposit shall be so handled at the expense, if any, of the insurer, and the state of New Mexico shall not be responsible for safekeeping thereof.