Don't discount a job because of one deployment per month---it really depends upon the service. I joke that a busy year for me involved four deployments to production, but "production" for me wasn't a website, or even a web-based service, but a service involved in the call path for phone calls. Our customer is [1] the Oligarchic Cell Phone company and the SLAs are pretty severe.
I do have to ask---where do you people work where you have multiple deployments per week (or even per day)? To me, that sounds insane!
[1] Still is, even though I left a few months ago, and not because of the lack of deployments, but the shoving of Enterprise Agile [2] on the company by new management.
[2] Which is anything but Agile.