I'm struggling to find the right pump. Is there one you can suggest that doesn't have a check valve? I really appreciate your time.That is not a ball valve style boiler drain. That's a multiturn valve. Quarter turn=Ball valve.
Preferably your pump would not have an internal check valve but since it does you should probably just use that. In my experience you should be prepared and on the lookout for that internal check valve to fail and need changed out.