Question:
Anyone have any suggestions for a bottled water dispenser with a pump to feed an icemaker on a refrigerator?

Answer: been there, done that. I originally used an old beer keg with a 5/8" CPVC outlet at the bottom. I used some pex and ran down to a faucet. I couldn't get enough 'head'. I just got a trickle of water. Distance of drop was 8', no vacuum as top of keg was open. (Actually drop was 8' then a 3' rise inside of cabinet). I added the shureflow pump to this setup and it rattled the heck out of the cottage and the water pulsed like crazy. I'm sure a bladder tank would have helped a lot with the pulsing but not with the rattle /noise while in operation. I exchanged the pump for a new one with same results so I know its not the pump.

I am seriously considering the flowjet in my original response. I am no using one of those in the fridge bottles for bottled water on the counter. Works fine but takes up space in small kitchen.

You might be a lot happier buying one the high end reverse-osmosis filtration units. This will make the water as pure as the bottled stuff and remain at line pressure. Plumbed correctly you could even deliver it to the cold side of the kitchen faucet or better yet a separate water spout.