@PLCProf posted:If I were determined to stick with this idea, I think I would use 12 VDC relays and a 12 VDC wall wart and be done with it.
Agreed. The xmas flasher bulb will flash equally well with AC or DC, doing its thing to interrupt/cycle the voltage to the relay. The key point being a 12V DC relay is like a 50 cent or $1 part...and the wall-wart may be sitting in your attic or basement so that's "free."
Or. If you have a source of 12V DC, then you could use a wig-wag automotive flasher relay discussed earlier in a linked thread. But IIRC wig-wag automotive relays are maybe $10 or so...