If the Aquaclear 300 means that it filters 300 gallons per hour, then you should have sufficiant filtration - that is enough for a 60 gallon tank.....10times per hour.
My 56 gallon tank required about 18-20 times an hour turnover for crystal clear water, but each tank is different - fish load, placement of intake tubes, circulation, shape, surface area, etc.....
If you find that the tank is not as clear as you want, add another filter. Make one intake tube much lower than another......vary it and play with it until you are satisfied.
Your tank sounds wonderful!