Run software update in non-admin account?

I did some searching through past posts, but the most recent one I found was several years old.

Is there any way to run Software Update automatically in a non-admin account? I run in a non-admin account unless there's some task that really needs admin privileges to complete, for security purposes, but having Software Update not run automatically is rather suboptimal for security.

So, is there any way to get Software Update to check for updates automatically from a non-admin account? (I'm not averse to using the crontab or launchd, if necessary—I've never done it before, but given instructions, I'm sure I could figure it out.

Thanks in advance!