Ok, something wierd is happening. It's my first time using "Away Mode" and thankfully, at the top of the page, it mentioned the current time on the server. After realizing that it was 3 hours behind, I modified it to the correct time and then setup a simple daily rule to lock me out between 6:30pm and 6:40p.m. I was immediately locked out, however it's 30 minutes past and I can't seem to get back in.
I've read an earlier post's instructions for fixing this issue within the database:
You can manually turn it off if you're good with the database by changing the "am_enabled" to 0 in the settings array for the plugin
The problem is, I don't see anything which says "am_enabled" and even when trying to do a search with phpmyadmin, nothing came up. I do see "bwps_away_mode" within the wp_options but changing that from '1' to '0' did nothing. I also see tables for the "bwps_lockouts" and "bwps_log" but I'm not seeing anything helpful.
Luckily, I only have 4 plugins installed and it's on a test machine so there's no priority. I did this to better learn and understand BWPS. However, I would like to get a better explanation as to how I could recover the site without removing/renaming the plugin folder.