American Eagles usually seem to be fairly wimpy in most calibers, but in .44mag, they are not. They aren't full-spec, like DoubleTap or Underwood, but they aren't bottom-end either. I've found that Sellier&Bellot 240gr JSP's are about the mildest of the .44mags ... certainly much hotter than .44special, but not bad in my 69. But I DO have X500 rubber grips on my 69, and that helps a lot with the recoil ... I can shoot full-spec ammo with them, without gloves. But my 69 is quite a bit heavier (37oz) than your 329, and that helps a lot. The S&B's are relatively cheap for .44mag, and are fairly clean.

[ADDENDUM]: Oops ... I confused your .44mag with another poster's 329. I don't know how your .44mag compares to my 69 in weight.

[ADDENDUM 2]: I should also have added that I use a very relaxed and low grip (combined with bent wrists and elbows) ... I think that helps a lot with recoil.