So here's the list I took to NAIC. I went 4-5. This deck is really really good against Espeon Garb. Too bad I didn't see a single Trashalanche in all nine matches.
Sylveon 4-3
3 Sycamore
4 Crushing
4 Puzzles
4 Fairy Drop
2 PCL
2 Lysandre
2 Kukui
4 Chaos Tower
1 Silent Lab
4 Delinquent
4 Red Card
2 VS
1 Max Potion
1 Field Blower
2 Flare Grunt
11 Fairy
2 DCE
I played a LOT of Sylveon last month, more than 200 matches. Sylveon has a lot of "holes" - for instance, turn 1 Hex is devastating, N can be disruptive, and decks that can get off huge OHKO attacks (Buulvolt, Rayquaza, and Magearna (weakness) being three that destroyed me at Nats). Also, if your opponent hammers off your Fairy energy, that can really put you in a tough position unless you can find another one. That's why I played three Sycamore. Chances are if I Sycamore, I'm going to get a Fairy energy. Getting turn 1 Fairy energy is absolutely essential.
My problem with the Eevees was that if you use an Eevee to get out a Flareon or Vaporeon, that's one less Sylveon you can have in the field. I found that I was continually choosing to get out another Sylveon over one of the Eeveelutions.
E Hammers I was using so rarely that I took them out altogether. Barely fifty percent of the decks I have been coming across run Special energy.
Max Potion I rarely used as well. I used Fairy drop a LOT though - right or wrong, a big part of my philosophy was to attack with Fairy Wind as much as possible.
Glad to see you found the Chaos Tower. That card devastates Espeon.
Team Rocket's I pulled out because it was only helping late game. I just wasn't playing it very much, but it is very good late, I just chose to use cards that would help me more early. That's part of the reason I only ran two VS Seekers.
I'd swap out the Wally for another Fairy energy.
Not sure how effective Sylveon will be post rotation. It loses Red Card, Flare Grunt, and VS Seeker. Red Card was a HUGE part of my strategy, losing Red Card is a big hit. Red Card, Stadium, Delinquent wins me a lot of games. If I can follow those three up with Torment Spray, that would be absolutely devastating, but I'm not sure how practical that is. Lysandre will simply be replaced by Guzma. Plumeria will probably replace Flare Grunt, and Muscle Dumbells might be worth trying as people seem to be running less and less Field Blowers. Puzzles will become even more valuable as they'll be the only way to get Supporters back. Losing Red Card though really hurts.