@Pavel Macek wrote an article about using S&S for an MMA fighter, and stated that they started alternating getups and push presses once they got over 32kg.
Perhaps that would be the minimal change you could do - every other session replace the get up with a press. Depending on how that and your get ups go, you could consider making bigger changes, but a couple of months alternating 10x1 getups with 10x10 push presses sounds pretty imPRESSive. (Sorry couldn't resist.)
Please check out the article here: S&C Training for MMA With Simple & Sinister | StrongFirst