Try a Russian dressing based sauce. Something similar to the old Arby’s red sauce. …. I don’t know what Arbys did to the their red sauce, but it’s not the same as 25 years ago. … It use to be sweeter & did not have the BBQ flavor.
The red sauce along with 6stars’ “ranch/horsey” sauce would be good.
ps: maybe the sauce was French or Catalina dressing based. The old red sauce was red but translucent in appearance, so it was not catchup based.