What size Bio-Cube do you have? Never mind, I see it - 14 gallon.
We have two Bio-Cube's in our house both 29 gallon that we converted to LED's. One used Steve's kit the other Rapid's. Both work very well but are different. Rapid's uses Cree LED's with Mean Well power while Steve's uses Philips Luxeon LED's and a Mean Well knock off and drivers. Rapid's kit is 50/50 royal blue, cool white unless you ask him to go different and Steve's is more blue than whites.
Both are dimmable via controllers and mine which uses Steve's actually goes down to 0 via PWM whereas the Mean Wells don't - they start at 15%. Both of the kits, in my mind, put out a metric ton of light. While neither of us are housing SPS my son has a rather large Rose Bubble Tip that is doing crazy well over the last two years and my tank is doing fine with a hammer, green start polyps and associated other corals.
14 gallon has some options and you could probably put together your own kit if you want. I think both Steve and Rapid offer 14 gallon kits for around 130 or so give or take. Not pushing one over the other just saying if you want a true LED system, with dimming options, it won't set you back much and will be more than enough light.
Zoas and softies will be fine as long as you don't go the route of knock off LED's. Buy Philips or Cree with a quality power source and/or driver and you will be happy. You can even keep in the Moon Lights if you want.