Since your course is #1 rated in the state, it presumably is in high demand. What if you mandated caddies before noon and only allowed carts for those with disabilities? Caddies would keep the pace moving because they help find balls, and could be trained to keep people moving along.
Beautiful swing, im no expert, but looks like u got some nice lag going there. Safe to assume you get some nice distants off the tee box and fairway. I haven't been playing long, but every scratch golfer or teaching pro I have met... 75% of the game is from 130 in (my pw,52,56,60 and putter). I shoot around 10 because I have solid wedge game and good at reading putts...which saves me from my old horrific drives. My issue is opposite of yours, my issue is off the tee box and getting it down, it's only been recent I learned to hit my driver because I finally bucked up and got a 2 hr lesson (for free, family friend) from the pga teaching pro by me. Hit the putting/chipping/sand practice. Your swing is definitely too nice to be scoring that high!
Putters are very personal things. I use a SeeMore because the club head helps me make sure I have the club face lined up square to the target line. Lexi Thompson uses and Odyssey. Sergio uses a Taylormade. Some players use Scotty Cameron. My neighbor uses a Taylormade Rossa and has used the same putter for the past 15 years - he paid $100 for it, weighted it, and counterbalanced it perfectly to fit him. The pros on TV don't use the ones we see in the stores. One pro I know got a Nike Method prototype mallet fitted for him from Nike. Never have seen another one like it. Edel, of course makes a very nice putter.
And you'll want to make sure that you really want this putter before you spend the money on it.