Shared hosting / domain mapping of SSL

Our website hosting is setup on a shared Windows server.

Available to us is a server-wide SSL certificate which can be used by placing the files requiring security into a "ssl" folder on our site.

eg. the files under http://ourwebsite.domain/ssl/ are accessible via the secure url https://secure-server.domain/ourwebsite_secure/

Is it possible, using WPMUDEV plugins or similar domain mapping plugins, to install WP under the "ssl" folder (giving WP its own folder), have the main site URL as http://ourwebsite.domain and when neccessary utilise the SSL url for secure WP functionality (eg. MarketPress shopping cart, WP login, etc)?