the 6850 uses 6pin power connector and PCI-e power thus max theoretical load is = 150W, real life usage = 120 W
the 7750 uses only PCI-e power thus max theoretical load is = 75W, real life usage = 55W
Also 7750 gets an extra +1 cause all the current driver optimization done at AMD benefit the 7000 series and focuses on those.
the 6850 is good performer i dont want to confuse you or throw you off, however it consumer power and produces more heat, in my opinion going with it will not only cost you 50 USD dollars, cause you need a good PSU with 6-pin connector, however going with 7750 will reduce the need for gaming PSU, and you can end up with a good certified 400W PSU or 350W.
So it all depends on you and what CPU you will utilize for example the i5-2500 Sandy uses 120W on full load and averages on 90-100.
So it all adds up, max sure you calculate your build wattage usage.
And its known fact that the 7750 default cooler is near silent.
My opinion instead of paying too much to get the 6850 working + , for now grab the 7750 cause its very cheap, and save the money in your pocket, for something else, or wait for the next cycle to upgrade.