I think Weber is a definite keep. There's a good chance he gets a full time gig in Montreal this year and with his talent he could produce. Keep your expectations low but he should at least be an NHL player this upcoming season.
The other two are up for argument. Budish is a 6'3" 220 pound kid with some serious potential. Someone has to score in Nashville eventually and in another year or two he could be a big part of that. Only problem is, he's 20 and has already had surgery on both knees.
COR has the talent to put up some numbers in the NHL. Unfortunately he's part of the defense factory in Nashville which means it's doubtful he ever gets the opportunity to show what he can really do.
If you want to keep two d-men, I don't think Weber and COR are a bad choice. If you'd like to keep a forward with high-end potential, and are ok with taking the injury risk, Weber and Budish would be a solid keep.
20 Team Dynasty (points per) - G (25, 50 for defense) A (25) PIM (3) PPP (15) SHP (25) OTG (15) GWG (25) HTr (50) SOW (75) HIT (1) BLK (2) W (50) SHO (100) OTL (10) GA (-15) SV (2) Use actual NHL salary
Start 12 F, 6 D, 1G weekly
F: Kucherov, Marchand, Barkov, Gaudreau, Laine, Aho, Dubois, Dadonov, Huberdeau, Trocheck, Bertuzzi, Beauvillier, Khaira, Grigorenko
D: Ekman-Larsson, Yandle, Edler, Pulock, Borowiecki, Weegar, Mike Reilly
G: Andersen, Hart
Farm: Boldy, Beckman, Wise, Mascherin, Kovalenko, Manukyan, Walker, Morozov, Shafigullin, Palmu, Tychonic, Zhuravlyov, Kesselring, Zamula, Lankinen, Sogaard, Ingram, Rybar