I think NV is a solid fit in the L&C Conference, but I don't know that an almost two hour drive to Winnebago would be ideal for either school. Now maybe that isn't a huge issue, and if that's the case then I agree they should reach out and have a discussion.
I have a hard time seeing Walthill or Winnebago going independent. I would imagine that scheduling would become extremely difficult for both of them if they weren't tied to a conference that requires teams to play them. If you look at this year alone;
Walthill boys are a state qualifying team, but their girls go 4-14. Not many schools are going to want to take that on if they aren't in the same conference. Volleyball, Walthill goes 4-25 with their wins against Boys Town, Santee, and Whiting Iowa. Without a conference, not sure who is willingly scheduling them.
Bago's basketball teams have had a good stretch where being a C1 team they will attract some opponents that want to schedule them, but for volleyball that would be a huge struggle. They went 6-23 this year, and again, without a conference they would struggle to find games.
I think there are 3 schools that the L&C should reach out to: Bancroft Rosalie, Lyons Decatur NE, and Omaha Nation.