The condensed water from a drier will be contaminated with bacteria and mold spores (as well as the lints and other particles) the last thing you want to have in water you use in photography whether for making up solutions or washing and rinsing.

Cheapest solution in the UK is a de-ionising water filter the Brita type (or equivalent) are inexpensive and in every supermarket. Buying water distilled or de-ionised is expensvive in the UK unless you buy in bulk.