There are charts for tire/rim width compatibility
this page and others. SheldonBrown .com has one, I just don't have the specific page address offhand. Maybe someone else can tell you how to measure the interior width of the rim.
Check that Schwalbe catalog in the sections for Touring and Urban tires, pages 19-31. Big Apple, Big Ben Plus, etc would be the closest in your criteria. I have no affiliation, other than as a satisfied customer.
UniversalCycles .com is a good place to buy bicycle stuff. I have no affiliation with them other than as a satisfied customer.