Just to update, and for any future people that may come across this post. I, in fact, did not clear out the clogs like I thought I did. I may have just pushed them down. They leaked again driving back from vacation during a huge downpour. Anyways, having read the mentioned post, I had found the location where the drain tubes meet the part where they go to the exterior of the car. For the driver side, all it took was a good wiggle and that cleared whatever out. Flushed it a few times and consistently got good flow out the drain hole in the wheel well.
The passenger side was another story. Wiggle didnt work so I got my old old straw tube cleaner from my Camelbak, pulled the tube out (came out quite easy) and cleaned out a good bit of gunk. Tested it again and learned the clog was in the portion on the exterior side of the car. Got a good shot of water when that happened... Couldn't get into the opening for the exterior drain very well with the tube cleaner so I eventually hit it with an air pump. That worked nicely. Both sides now clog free after flushing with water. I can post pics of the location if anyone is interested. Just let me know
TL;DR: Didn't actually unclog the drain tube as I first thought, had to go underneath dash, find, and clear tubes on that end. After some trail and error, finally got both sides clog free.