I don't even thing the criteria you provided for your worth of earning $5,000 would be difficult as much because , the more you invested in day trading the more you will get the profit, even the same situation will be applicable in long term coins too, but here i preferred for the amount you decided that day trading would be best.
Surely it's not easy to make $5k every month with just $15k investment. Not impossible but surely not easy either because the price does not always go up and daytrading is most profitable when market is bullish.
My small advice to OP would be, start trading and see how much you can make and don't be too upset if the profits are small because crypto trading is not a get rich quick kind of scheme. Crypto trading is just a more dynamic and volatile version of the stocks market so trade carefully and don't aim for too much profit from the first month itself.
I would even say that burn the first month just for learning and gain experience about daytrading.