Bump steer is caused by a mismatch of steering components, such as when a vehice is raised or lowered, and the drag link from the Pitman arm at the steering gear to the spindle is not level with the ground. Another possibility is a mis-adjusted sector gear preload that allows the steering gear to wander when the vehicle is traveling straight ahead. If there is a good wheel alignment shop in your area with someone who is familiar with straight axle steering geometry, have them do a detailed analysis of the steering system. A steering stabilizer is just a band-aid fix that attempts to hide other problems. Be sure the stabilizer is free to travel up and down without binding or putting an unwanted input into the tie rods.
Jerry
Edit: If your new wheels are noticeably wider than original, or the tread centerline has changed more than an inch or two, the extra leverage on the spindle can create a pull while braking.
Jerry