Static site hosting options with SSL

I see multiple questions like this with no answer, yet I will try.

I'm hosting my personal blog and my notes as a static site on one of the big providers and I'd like to migrate to OVH. Indeed it is possible to expose an object storage container as a static site (for the OpenStack swift it is one of the options OVH directly supports), great. The last thing I'm missing is the SSL certificate.

For static hosting with SSL - OVH documentation suggests using a load balancer - adding nice EUR 20 / month to the cost for hosting a few static pages. I managed to create a CDN distribution with another provider and it is working perfectly with SSL. Yet not what I wanted. As well not really fair to OVH, as the storage cost is for storage and I see no pricing for GET requests or traffic (unless I missed something). 

I understand I can order a small hosting and it would solve the same issue along OVH, but I wanted to keep it small and simple. I like the idea of hosting static content (optionally with services separately). And no server means less administration, less possibilities for misuse (is it really plain unecrypted ftp access that comes with the OVH hosting?)

Questions:

•  Is there a simple option having an SSL certificate for static hosting that I missed?
• Can I use the website hosting as a proxy for the static content on the object storage? (I have no idea what I could control inside the website hosting, such as httpd/nginx config, I'd have to order for a full year without knowing what options and possibilities I get)