I have a similarly sized room, though with some different challenges. the width is closer to 9.5 feet and the length is closer to 19 ft but with a bay window behind it. I also have (and love) that SVS micro. Mine seems to work best along the side wall.
My best experiences have been with sealed and front ported speakers. I had the LS50s in there for a long time, but never quite got them to work. When I moved them to the basement and the main TV room where they had a lot more room, I started to understand why people like them so much.
The two best fits for my room came in under what I had set as a budget - the Sonus Faber Lumina II and the Falcon Acoustics Mofi branded LS#3/5a (the sliver badge, I believe). Both sound fantastic. I got the Falcons used with very low hours, and they did take a while to break in. Both work incredibly well with the SVS sub. They also seem less sensitive to distance from the side wall. I basically have them 2.5 feet out from the front wall and the center point on the tweeters right around 6.5 feet apart toed in to a point just behind the listening position which is just under 7 feet away. It’s pretty close to an equilateral triangle.
Rear ported speakers (or speakers with a passive driver in the rear) struggled even when the port was dampened.
It is a totally different beast (or sound), and I know that you explicitly mentioned ‘no Klipsh’, but they play really well placed towards corners. I have Heresy IVs that I swap in on occasion when I want something more lively. The Falcons and SFs share almost none of the same sonic characteristics - my sense is that they will be more to your liking.
Playing around with acoustics in a small room is an adventure, but you can certainly find great sound. Best of luck.