Bummis fit ok over ME diapers, tends to depend on which diaper you're using and sizing of cover/diaper. The potential issue with other covers like Bummis is that they're not cut the same way ME diapers are (and often are made to fit over prefolds). ME diapers tend to be wider on the hips that prefolds and some other fitteds so not all diaper covers offer as good coverage as do ME covers. I've used Bummis though and they do work ok, but like you said, sometimes the fit isn't ideal. I found that by making sure everything is tucked in and avoiding using them at night (when the sides of the diaper are likely to get soaked) then they're ok.

If you prefer the trimmer looking fit (they're not actually trimmer than the Airflows in terms of actual bulk, it's just that the Airflows allow more air inside so they're pouffier) then you could always try the Rikkys. They're similar to Bummis in that they're a wrap and not as pouffy as the Airflow, but obviously they're fit perfectly over ME diapers.

Karen.