With respect to DCP's, instructions here say #6 or #10:
https://about.usps.com/postal-bulle...info_007.htmFor the recent Coast Guard stamp I submitted post cards printed online at Zazzle, and they accepted them for DCP's. These were taller, and not quite as long, as #6. I've seen Maximum cards with DCP's, and other sized post cards. Since Monarch size is between #6 and #10, I cannot imagine them not being accepted.