Not sure I understand all of what you're asking for but here goes:
Sol stands for solution.
There's nothing stopping you from adding the F6-style gyro dials to the F3 screen.
As for a bearing in the F3 screen, all you can do is add the firing solution bearing dial(s?). The problems here are
1: the dial is only updated when auto-update is on
2: from memory, the 10ths dial isn't what I think you think it is

but I could be mistaken