Usually, I lay some white tulle on top of the fiber prints, with white paper towel underneath and IRON it with a clothes iron. Usually about 15 minutes and it's as dry as a bone!. And, FLAT too!
---|
+-------\
&#124;--------&#092; <Iron
+_____-&#092;

----------------------------- <Tulle
___________________ <Print
------------------------------ < Tulle

^^^^^^^^^^^^^^^ <Paper town
...................................... <Hard wooden or polished granite table