In principle, it's perfectly acceptable to dry partially washed prints if the objective is merely to make judgements about how they look when dry, drydown, etc. Ansel Adams was notorious for using his wife's microwave oven to quickly dry prints.
Practially, there are two concerns. The first is that you need to have a system to mark incompletely washed prints so that they don't get intermingled with prints that are truly finished and ready for presentation. Not difficult to do - merely requires that one adopt a discipline.
The second concern relates to how the prints are dried. If you use blotters or drying screens, drying incompletely washed prints will contaminate the screens or blotters, and they in turn will contaminate prints that have been fully washed. Again, this may not be a big issue - one must have separate drying provisions for prints that are to be dried and then disposed of.
But my experience is that I don't really use any additional water washing prints that are to be thrown away. I wash prints in successive trays of water - after using a washing aid, I put the batch of prints from a printing session in a tray of plain water, agitate briefly by flipping the prints from the bottom of the stack to the top, and then allow them to sit for five minutes or so while I am putting things away in the darkroom. Then I transfer them to another tray of plain water, agitate, and allow them to sit. I repeat this process for about six cycles, and then squeegee the prints and lay them out on screens to dry. I use the same volume of water in each tray regardless of the number of prints from the session or how many are "keepers" versus mere workprints, so the fact that there are workprints in the batch does not cause me to use more water. And the process overall uses minimal water.
It has been shown that the old approach of soaking prints in running water for an hour or more is totally unnecessary, especially if the fixing cycle has been kept brief (by using a strong fixer) and if a washing aid has been used to convert the residual chemicals into a soluble form.
