An open diff puts power to the wheel with the least amount of traction.
Under hard acceleration, the differential wants to rotate. This torque plants the left tire and raises the right tire. This is why open diffs always spin the right tire more than the left.
Although a posi will greatly help traction, suspension can also help a little bit. Using a rear sway bar will limit how much the right side tries to lift up. Putting an air bag inside the right spring will also add pressure to keep the right side planted more but neither will have the same effect as a posi.
You need a 7.5/7.625" posi for 26 spline axles. Something like this depending what gear ratio you currently have in the diff.
http://www.jegs.com/i/Eaton/362/19663-010/10002/-1