No way would I put wort through a chiller that I wasn't able to recirculate cleaner through, especially when a pump can be had for under $50. A pump is useful throughout brew day.
On a side note, I HAVE a plate chiller and LOVE it, but I wouldn't get one for anything less than 15 gallon batches (I do 20). The amount of time it adds for cleaning is significant and really cuts into the time you save by how fast it chills. As an experiment, I put water through both ways half a dozen times or so, then started recirculating the chemicals and the same amount of gunk comes out. It's crazy what sticks in there.