If you know your right overpronates more, whilst landing more supinated and you have no leg length descrepancy then most likely a control problem. Make sure if you have not already that you check hip quadrant for tightness / alterted hip congruency right to left. Obviously as you have identified upping the pace is the likely cause...if your control is lacking at all at the hip you will whip over into pronation quicker and overuse lateral structures, irritating ITB.

Control work
I would ensure that you can do sidelying leg lifts first. Clam position, 90 at hips and knees, feet together, lift upper knee. If can't do this without bringing TFL then try with pilow between knees to put glut. med. into inner range and try this. Obviously you do need to get through range control...but it may help you get started.

If you can't get control in side lying then when you try and gain control with weight going through the limb you will constantly compensate. It may take sometime to regain control...it may also be being hindered if there is some Lx involvement.

Gluts / hams can be done prone with end of plinth tilted down, or standing leaning over plinth...definitely get a friend to help identify if you are kicking in your gluts.