Kris, unfortunately the flasher circuit shown above was switching of 5V between the alternating lamps. To drive your higher voltage AC/DC it gets a bit more involved requiring another 99 cent relay module. Here's a collage of various circuits that shows the 99 cent module approach. There have been postings showing DIY flasher circuits that can drive bulbs without relays but by the time you gather the transistors, capacitors, etc. and solder it up I think you're better off using the eBay module approach.
You should be able to click on this photo to get better resolution. The same circuit can handle either your AC or DC flashers.