Get a hero under the "Thalia, the Thunder King" tab (him or others). Update his boosts to unlock "Storm Rider". Activate "Storm Rider".
In CE, search as a DOUBLE for the amount of the "Storm Rider" (xx%) - you put in CE only "xx" (without quotes). Use a time warp ( 2 or 8 x 30 min, 1 x 4h). Activate again "Storm Rider".
In CE, search for the new entry (yy%) - you will press "Next scan". There will be 3 results in there. Select all three and put them down... Select all three and put a value there (I put a lot of "9" in there... like 3 full box lines). When you will press enter, the DPS will increase to a value (1exxx). After that, press again ENTER to change the value. Delete xxx and put 999. You will have the maximum DPS available (1e308, 1e400 or 1e600 - this one is too new for you to have it).
NOTE: If you do like this, after a refresh you will still have the maximum DPS (it will not be demoted to a previous number).
NOTE TO YOU AND OTHERS:
If you check the boxes after doing what I've said and reset the world, after you begin a new mission (without refreshing the page), you will have to just activate one time the Storm Rider to have full DPS (1e308, 1e400 or 1e600).
I hope this will help you as it did helped me to go through almost all the missions...