I think it's okay to give it a little push at the bottom of your swing. And sometimes it's also okay to pull down after push away to help gravity. As long as you can keep good timing and balance, I don't se these as a problem.
The only other thing that I think you could try for the heck of it, is to speed up your feet a little. I think you'd have to move back on the approach a few inches though.
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