Lots of good questions being asked.
I like the idea of moving the archer 2S and the warrior NW before moving the scout. I had not considered moving the settler SE (or 2S2E, or 2S1E), but those could be strong locations if there are resources in the fog. With the silver needing BW to chop the forest first, leaving it for a second city could work well.
Hill sheep and hill deer are not bad tiles, and I am pretty sure we will want to pasture them rather than mining. But they are not such strong food resources that they would support a capital with decent growth. And since we do not start with AH, I favor leaving them for a second (and possible third) city. If there is other food in the fog in addition to the sheep and deer, we can reconsider.
On the possibility of more seafood to the east in the fog, where would the capital go in that case? 2S2E might work (depending on location of said hypothetical seafood), or we could plant on one of the forested hills. Hate to burn a forest and a hill like that, but for 3+ food sources in the capital it would be worth it.
So overall I would recommend:
1) Move the archer 2S first, and see if anything is revealed that would favor settling SE-ish.
2) Move warrior NW. This reveals one tile (W of silver), which appears to be a hill. Not sure what could appear there that would be more attractive than settling 1E. A pig, maybe? Or another hill sheep/deer?
3) Assuming neither of steps 1 and 2 reveal anything, then scout NE, probably followed by SE to see if there might be additional food further east. I think checking east will be more valuable than going 2N2W, as all those tiles appear to be forested with many hills. Chances seem lower of finding anything that would argue for settling N or NW-ish. And if anything is found NW-ish, it could probably wait and be grabbed by a second city (and after we know AH).