Multiple CNAME pointing to one CloudFront distribution

I am hosting a CloudFront distribution pointing to a backend for my service (app.example.com). I have a multi-tenant system where I also provide other users the ability to point their sites to ours (service.anotherexample.com). I would like to add multiple CNAMES to the CloudFront distribution, but due to the fact that each CNAME needs to share one SSL certificate, we are unsure on how to proceed. We have the individual certificates for all of these sites, but there does't seem to be an option to assign multiple.

Here is an example of what we want to achieve with CloudFront:

service.anotherexample.com
                                 --->        app.example.com 
test.athirdexample.com             

where we have the SSL certificates for anotherexample.com and athirdexample.com, but not one certificate to cover three unique domains.

Any help would be appreciated. Thanks in advance!