HEKs can be grown easily in suspension (I work with them and Expi293 cells all the time), you just need to adapt them through progressively diluting out your starting medium with new suspension medium (eg FreeStyle), or buy them straight from a vendor.
There`s plenty of protocols around to help you there – follow Ian`s suggestion there - but this paper has some details on adapting Trex cells to suspension (not done it myself yet):