Guardian of the Night said:
I don't know many people that are still around that know my style of deckbuilding...but it is usually "outside the box"...
Well, in the days of LCG and the Core Set, "out of the box" takes on a different meaning (so to speak). However, as you are finding, the limited card pool does not support a lot of "off beat" builds right now. That said, I would agree with Lars that Baratheon is the most versatile house right now, but most of that versatility still seems to come down to some flavor of rush (I personally would categorize Lars celebrated MwNK deck as rush, too). So despite the versatility, it could still feel unsatisfying to someone who likes to play decks that do things their opponents aren't likely to see coming.
One "off-the-wall" Baratheon idea I have had but not tried to build yet is an "all-discard, all-the-time" control deck. It needs a ton of influence, but if you can figure out a way to pay for Westeros Bleeds, Too Proud to Bow and the like, you can keep discarding everything in play (except for your Knight of the Rainwood, King's Champion or Lords and Ladies you have put Bodyguard on) in Dominance, then using Baratheon's discard recursion (there's some) to bring them back. It's a half-formed idea, but may be worth looking into.
Another intriguing possibility is a deck centered around Fox's Teeth, going first, and possibly standing effects for your opponent's characters.
Mostly, "off-the-wall" is going to depend on either going OOH (not always an easy thing in with the resources of the LCG environment) or waiting for a larger card pool. Depending on what the other CPs look like in KLE, a Baratheon "City of Shadows" deck might start looking good in a month or two.
Oh, and if you do build a Summer deck, think about NOT using the Kings of Summer agenda. Once KotSW builds his GJ Winter deck, that "draw 1 card if it is Winter" thing is usually not worth the risk. You can find other ways to draw if need be.