Which anti aliasing filter algorithm for efficient audio resampling?
For a first cut, I would consider a windowed Sinc interpolation kernel for both resamplers.  Very narrow window with a small polyphase table for the fast one.  Much wider window with more phases in a larger, possibly interpolated lookup table for the slower higher quality filtered interpolator/resampler.  Lots of parameters (including choice of window) that can be adjusted for both quality and performance to meet widely varying requirements.