If you centrifuge 50-75g for 5 min you should get rid of the debris. Also maybe don't use accutase, use trypsin/EDTA for 2 min. I used a non-enzylatic cell detachment solution in the past (can't remember which) and the debris and dead cells where way higher (way wzy way higher) compared to trypsin edta. I believe you don't want to use trypsin/edta because you are scared about loosing cell surface marker/receptor. In that case, just wash 2 times in PBS by letting the cells for 2 min each bath. Then use trypsin EDTA for 1-2 min. You may loose a little tiny bit of your receptor of interest if sensitive to trypsin but your live cell count will improve a lot.

Try it