Given everything you've said I'd keep all 3 goalies. Your other options are not that attractive and goalies are important in your setup with 8:5 skater:goalie stats and 3 cumulative goalie stats.

I would explore trading one goalie (I like the Parise deal you mentioned) either before or after the draft but be in no rush to do so. I'd push hard to move Schneider but be more leery of trading either of the other 2 until Luongo is officially traded.

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12 team H-2-H 1 year league, daily roster 3 goalie start minimum
2xC, 2xRW, 2xLW, 4xD, 3xUtil, 2xG, 5 Bench
G, A, P, +/-, PIM, PPP, SHP, GWG, Hits, W, SV%, GAA
C: Stamkos,Thornton, Riberio, Stepan, Desharnais, Clune
LW: Moulson, Dupuis, Prust,
RW: Kessel, P. Kane, Wheeler, Stempniak
D: Hamonic, Zidlicky, Franson, Muzzin
G: Bryzgalov, Hiller, Fasth