you can try vinegar - use the pickling variety - it has more acetic acid, which is the active plant killer. 2-3 ounces of soap per gallon helps it “wet&stick” - spray application.
it is non-selective. it kills/whacks/stunts pretty much anything green.
it is also non-persistent - you’ll likely have to retreat every 7-10 days.
another option is a “rosebud” propane torch. just scorch the base of the plants to disrupt the transport of water/etc. you don’t need to burn off the weeds to the ground.
again - a non-persistent solution - new weeds will sprout and it takes some time to establish control.