Dreamhost offers secure hosting by default on their new ‘Happy Hosting’ plan which is $9.95 per month with no setup fee if you sign up for a year.  (They recently ditched the previous tiers including the Crazy Nutter Unbelievable Astonishing Domain Insane - well OK, they didn’t really call it that).

However you do need both a static IP (”unique IP”) which runs under $50/year from them - and you can’t BYO plus you need an SSL Secure certificate - $100/year but you can BYO.  Dreamhost’s support wiki has a good explanation of the types of SSL cert.

So basically for shared hosting, the lowest cost would be about $270/year with DreamHost.

1&1 includes a GeoTrust SSL certificate in the “Developer” package which runs $20/month.  Or it can be added to their other packages from the $4/month “Beginner” to the $10/month “Business” for $50.  There’s no setup fee when paying 6 months ahead.  The 1&1 setup process does appear to be simpler - no worries about adding in a unique IP for example.  Good thing
really given the lack of documentation on the process.

So the cheapest 1&1 SSL enabled solution is just under $100.