Robust Localization for environment with low features

I am new to SLAM and autonomous driving.

Case:

Robot needs to start from point A and reach point B with maximum accuracy as well as precision for all the cases. The only object around it is the table (shaded box in the pic) and the ground it travels over. So, very less features. There aren't walls around for the conventional SLAM methods. The square signifies a reference object (a table for instance). The pic shows a top-view of the cases.

I can try all possible hardware to implement it (IMU, GPS, RGBD camera, etc), except 3D LiDAR like Velodyne. How can I help my robot get from A to B with accuracy and precision ?

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