I wouldn't suggest to stop getting Senzu Beans, if everyone gets a lot, the TMQ will be easier that way and it's not that easy to get infite Senzu Beans like we see now. I'd suggest to get atleast 50, that should be enough for 2 or 3 TMQ.
I really doubt they'll let you get more than 10. You can repeat it however many times in attempt to maximize the number of beans you get (with 10 being the max), but whenever you actually accept your prize (by clicking the button on the left) you probably won't be able to do it again.