If you want a strongly typed list of anonymous types, you'll need to make the list an anonymous type too. The easiest way to do this is to project a sequence such as an array into a list, e.g.
var nodes = (new[] { new { Checked = false, /* etc */ } }).ToList();
Then you'll be able to access it like:
nodes.Any(n => n.Checked);
Because of the way the compiler works, the following then should also work once you have created the list, because the anonymous types have the same structure so they are also the same type. I don't have a compiler to hand to verify this though.
nodes.Add(new { Checked = false, /* etc */ });