I would not recommend it. We found that the WPEngine platform and Civi weren't going to work the way we need them too. We tried this under their P1 plan. In sum, just too many restrictions, which is totally understandable for WPEngine to make WP work so well there.
*Max Execution time for imports and other server setting restrictions (if you are on shared hosting plan then this would be limited to 60s.)
*Had issues getting cron jobs setup
*System status page did not show
*Weird behavior with not showing some Civi content for ACL users on some pages. Had to give permission in User Role Editor WP page and post access as workaround.
Have to let their platform specialize in what they are good at. I've absolutely loved the WPEngine platform; nothing better for WP. But just not for Civi.
We ended up keeping our CMS multisite at WPEngine and using Civihosting for a WP + CiviCRM multisite mirroring each other.