I don't know that I would draw that sharp of a distinction between archaeological and Biblical evidence. Pretty much every strata of the Bible that we have, from pretty much every age, assumes that even Yahweh's worshipers are aware of and frequently worshiping other gods. Rachel has her period on a pile of household idols (Gen. 31:26-35). Jacob gives up all his household's idols at God's request (Gen. 35:1-4). The Israelites in the desert worship first a golden calf (Ex. 32) and then the Baal of Peor (Numbers 25). David's wife Michal has an idol just sitting around, available to be used in a subterfuge (1 Sam. 19:11-17). And that's before we get to the prophets, whose message everywhere assumes that other gods are present in Israelite civil religion.
The question isn’t whether ancient Israelites worshiped other gods. Every single source we have, including the Bible, says that they did. The real question is how early and how consistently such behavior was objected to, and on what grounds. And there, the evidence shows that even the earliest traditions seem to expect loyalty to YHWH alone, even if they don’t always explain why. Over time, those objections become sharper, more theological, and more absolute. But there is no point in the biblical tradition, early or late, where YHWH is not a jealous God; just as there is no point where he doesn’t have cause to be.