Rafael Aviles wrote:
the Sharper algorithm results in over-sharpening (to my taste)
I've found the resizing in Lr to be very nicely done (not over-sharpened...) - both directions (bigger & smaller). Nevertheless, here are a few thoughts:
1. Make sure you have no output sharpening specified (sorry if this was obvious - I couldn't tell from your previous post if you were aware of it or not).
2. If still too sharp, maybe it's over-sharpened to begin with. i.e. consider sharpening more moderately in Lightroom, then *add* output sharpening if need be upon output.
3. If for some reason you just don't like the resize algorithm, you can wire up another one by way of post-process action, e.g. Lr/Mogrify, Photoshop droplet... Personally, I don't think any improvement can be had this way, but you might disagree (and that would be OK 
).
Cheers,
Rob
