The escrow account is to secure the contract between two parties, and is just instructions to the escrow company to pay the money to Party A if THIS happens and or to Party B if THAT happens. If there is only one party, then it’s just a savings account and then it needs to be in a bank, insured by the FDIC. I don’t think an escrow company can hold funds for just one party.
Until the OP actually spends the money, it’s just a cash asset.