Have you tried to bring your visitors into a dialogue before the conversion happens? Splash page option integrated into Maintenance plugin allows you to do it. Via this tool the user's attention is captured for a short time convenient for you to promote valuable information, new offer, or some kind of a warning.
Use Splash page as a welcome screen and create effects needed to get your visitors thrilled (excited).
Your customers will be able to view your website even if it's under the Maintenance.
For that enable Splash page.
On your Maintenance page there is enter button.
Once the user has visited the site, he can't return to the Maintenance page.
User need to clear cache cookie or during 24 hours it clears itself and splash page will be visible.
You can disable splash page and Maintenance page will be always active, but without enter to your website.