I just ran some wire from the turn signal connectors (by the headlight), down the steering column, to the back of the running light. Then I swapped my running lights with my turn signals.
Obviously this will only work as a turn signal, no running light, but hey, it didn't cost me anything and I needed to do it (new headlight cover I got didn't have the holes).
So for now at least, I have working signals, though I've lost my running lights
Does anyone have any ideas from here or is my project done?
I was thinking I could get one two of these pieces, maybe modify them a bit to fit.

Then get some Switchback LEDs (Switchback LEDs replace your parking or daytime running front lights. When you turn them on, they are white, but once you activate a turn signal, they'll change to an amber color. As soon as your turn signal switches off, they return to their original white color.)
The trick is to somehow make the mount play ball with this...
