Cody,
Glad you found the Blinker flasher, sorry to hear about the smoke.
Now time to find that short: You said that your brake lights work, right? Properly? If so, the only thing that you are adding when you use the turn signals and your emergency flashers, are the front turn signal lights. Follow those wires all the way from the engine side firewall to the front turn signals looking for any wires that may have rubbed through to touch metal. If all looks good, Pull the plugs on the front maker lights (orange park/turn lights) and try your fuse by the flasher again. One of those turn signal lights is shorting out. If the brake lights are not working correctly, the rear need to be checked. Have your wife watch the front, then rear lights, as you move the turn signal arm very quickly, dont let that wire get hot again. One of those corners is not coming on!
If you're still not finding it, here's my trick for finding shorts. Hook up a heavy light bulb(like a tail light bulb) to a couple of wires. Connect the other ends to the fuse that keeps blowing. A short in that wire will cause that bulb to glow very brightly. Start unplugging connectors, bulbs, accessories, till the bulb goes out or glows less bright. The Bulb will save your wiring and energize the circuit enough to trouble shoot. Just know that the Turn Signal Circuit already has a heavy load on it so the bulb may glow brightly from the start, so you have to determine when it is glowing too brightly or normally.
You have my number.
Rob