I don't have a pump and use an IC, too - the IC has already been in the kettle and been sanitized by the boil. Don't overcomplicate it - it's easy. I cool to 170-175F, add the hops, steep 20-25 mins for APA or 45 mins for IPA. I stir thoroughly initially then every few minutes I stir some more. When done, finish cooling. Easy peasy.
EDIT - To be extra clear, I leave the IC in the kettle during the steep.