Making sure HTTPS pages get indexed
I have an https issue that I'm hoping someone can help me resolve. I have a client who just redesigned their site. Unfortunately, all the important content on the site (with the exception of the homepage) happens to be on a seperate https domain. It isn't possible right now for them to change this and make the pages http. Problem is, none of the https pages are getting indexed. Since I can't persuade this client to get rid of the secure product pages and create http pages instead, what can I do to get these pages indexed? I've tried creating an XML sitemap to submit to Google, but all the sitemap builders I've used are unable to pull https pages. Would you suggest manually creating an XML sitemap? Would this even work? Any other suggestions for getting https pages ranked?
* the homepage is http. However, all the important product pages, for which they want to rank, are https
* these product and category pages also happen to be on a different webstore domain [https://webstore.mysite.com]
* none of the https pages are getting indexed