That's 67mA per rail, so 134mA total for the TEC 2. If current draw of one circuit is 120mA, even the TEC 3 won't work because it's limited to 200mA total.
Edit: Had a quick looksie and TMR 6-0523 will provide more than enough current (200mA per rail). Input voltage is 4.5-9V, so some form of...