Wow... judging by your name, I'm guessing you're an Oilers fan? Based on that, I would've thought this proposal was terrible but you actually did quite an excellent job value wise. However, as a Flames fan, I would still have to pass.
I think Faulk is hugely underrated (almost as underrated as Brodie) and I think he's in the upper tier of elite #1 D-men. Because of this, I have no problem admitting as a Flames fan that he probably holds more trade value than Gaudreau, especially taking his amazing contract into consideration. However, Skinner is easily the worst of the 4 players and even though the gap between Faulk and Hamilton is huge, I think the gap between Skinner and Gaudreau is just a bit more. Plus, with Brodie's preference being to play the right side, acquiring Faulk would force us to either convert Brodie to the left side and separate him and Gio (which would be terrible because they make such an excellent duo) or to keep Brodie and Gio together and have Faulk replace Hamilton on the second pair, which is why I think this trade doesn't work that well for the Flames