I just converted a 70 AMX to LED bulbs. LED amber 1157 replacements in fronts, LED red 1157 replacements in rear, incandescent dash indicator bulbs. I ended up using Novita EP28 flasher units in both the turn signal and the hazard circuits. AutoZone stocks for $21.99 each (ouch!). Nice rate of flash - same for 2 LED bulb turn as 4 LED bulb hazard. In my case I had to make adapter pigtails - the AMX factory units were (2) 1/4" terms - feed + load, where the EP28's are (3) 1/8" terms - feed + load + ground.
While there may be replacement flashers that directly plug into your connectors, it may be trial and error to find which ones flash at a nice rate of pulse, at $20+ a crack.