To overload your weaker side, do sets of isolation moves using that leg only.

Exercises that target the area that you are speaking of are hard to come by. Try doing calf raises, and then tibialis raises ("toe taps").

Toe taps are performed by sitting in a chair/on a bench and while keeping your heel on the ground, lift your toes off the ground. Start with 2-3 sets of 15 reps. When that fails to give the muscles a burn, add small amounts of weight (resting on your toes).

Basically, you will be training the same muscles that someone with shin splints trains to make stronger. More stretches/exercises:

Double toe raises. Stand facing a chair back or other supporting structure. Rest fingertips lightly on the chair back for balance. Press down with the toes and raise heels fully from the floor. Maintain this position for 10 to 15 seconds, then relax for 10 seconds. Repeat 15 to 20 times at least twice daily.

Single toe raises. When double toe raises can be easily and painlessly performed 20 consecutive times, it’s time to try single toe raises. Stand beside a chair back or other supporting structure, resting fingertips of the hand closest to the chair back lightly on the chair back for balance. Flex the knee of the leg farthest from the chair back so that the foot rises from the floor. Press down with the toes of the opposite foot, raising the heel fully from the floor. Hold this position for 10 to 15 seconds, then relax for 10 seconds. Repeat 15 to 20 times at least twice daily. Reverse positions of the legs and perform single toe raises with the opposite leg.