This is what I did to mine... running lights and alternating blinkers. I like having them on as amber running lights and the extra attention for alternating blinkers.
Like Eric, or Cobalt said, you can do the alternate flashing signal, BUT, if you have a low load front turn signal it most likely will not work.
I tried to connect the front flashers with my Proton front signals and an EF-1 flasher relay. When connected the Super Bright LED's for the front signals, enough voltage leaks through to trigger the Protons, so the Protons flashed ALL the time.
The other problem with this setup is you are not putting a positive 12 Volts to the front alternate signals at all times with a ground. In effect you are putting a positive 12 Volts to one side of the front signal, then through them, then the ground lead on the front signal connects to your front Flasher light (in my case the Proton light) then to actual ground.
You, in effect, are making a series circuit of the front flasher and the front signal light. This is only a problem for the front signal light though, unless the front turn signal light shorts out. Now you have a problem.
If front signal light burns out OPEN the front signal light fails to work. If the front flasher light burns out OPEN then neither will work.
If the front signal light burns out SHORTED it will have unknown effects or you will have non working front signal lights AND non working front running lights. If the front flasher light burns out SHORTED you will have only a working front flasher light.
For effect in this post the reference is as follows:
Signal light=non stock added light in the headlight pod
Flasher light=the damn turn signal
If you truly want alternate flashing lights you will need to add some type of electronic circuitry to control the lights. (I can figure this out for you if you pay me or B**W me, neither of which I want)
My best suggestion, the one that I went with, is to use Eric's (Cobalts) front signal mod, BUT hook them up to the positive flasher signal AND then to ground. This gives FULL voltage to the signal lights and flasher lights. Both burn bright, and if one fails OPEN both still work. If they fail SHORTED, well, you're screwed then, but that rarely happens.