It’s a matter of context and the meaning you wish to convey (express). Both can be valid options.

If a road “ends up” somewhere, it implies arrival at a destination. That’s the purpose of the word “end”. In the example below, the people clearly stop at a destination at the end of the road. Example: We were lost in the Wisconsin backroads for 2 hours, until we ended up at a gas station where the attendant helped direct us back towards our destination.

If a road “comes out” somewhere, it implies the possibility of a continuation. Example: We were lost in the Wisconsin backroads for 2 hours, until the road finally came out next to the highway.

This can be tricky because in both scenarios one can continue on their journey. One can end up somewhere and then continue onwards, or one can “come out” somewhere and then stop for a minute. I think it’s more about the feeling you wish to express - a sense of arrival or a sense of relief. Hopefully this makes sense.