wonfuji, welcome to
RP. i wish your coming here was due to better circumstances.
the following are suggestions NOT based on real experience with slides, so, take them with a LARGE grain of salt. consulting with a conservator on this would be wise.
since the slides are already wet, or have been wet, i think cassidy's method would work. you'll want to remove each slide from the cube and check it. a rinse in room temperature water shldnt hurt further. the only thing extra i might try would be to lay each slide out on blotting paper or some other absorbent surface and then turn them occasionally to dry them evenly.
i would think there is some risk of the pressed paper holding the slides to warp, bend or separate, especially if they've been wet for a while. so, you might also try putting them on an absorbent surface and then placing another absorbent material over them with a weight over the whole. since warping would tend to come from one side drying faster than the other, i would think this might be the safer method.
but again, consult with a conservator if in doubt. you might also test one or two lesser valued slides and see how it goes before doing a mass handling.