First, note again that the slew rate is *NOT* symmetric. Therefore, you have a different calculation for the slew rate going high versus the slew rate going low. run some experiments in simulation to get a feel for this.
Second, the load should be the first thing you determine for design of an opamp. Combine the filter and the ADC, and make a simple RC model for the equivalent load of these blocks. Then do a first pass design with these reqirements. Finally, simulate everything together to verify.