Kaysbelle,
A round pool 3 feet deep will hold approximately 635 gallons. Your pump flow of 1,258 GPH will move the entire volume of your pool twice each hour. While I have no concerns regarding turbulence in your 55 gallon filter from this flow, I do have a concern about the size of your exit pipe. Gravity flow of 1258 gph requires a pipe diameter of 2.7 inches as determined by my pool calculator (
http://www.gardenendeavors.com/rack/pool10.html ). This would suggest that 3" PVC would be a better choice for your exit pipe, in order to prevent filter container overflow.
Regarding the pool calculator referenced above, you can play around with different pool sizes and flows by adjusting inputs to see various outcomes.
Regarding your estimated fish load:
Fish loads are determined by water surface area rather than water volume, since in a power failure situation, survival of the livestock is dependent on unassisted oxygenation through surface exposure to air. A 6 foot diameter pool has a surface area of 28 square feet. The square root of 28 is 5.29 feet. Going to the fish load calculator (
http://www.gardenendeavors.com/rack/web17.html ) and entering 5.29 in both the length and width, and 10 fish in the 3" fish box (Note, because of my limited Javascript knowledge, ALL fish size boxes need an entry, even if zero for the calculator to work.) Given 10 3" fish, your fish load would be .3 pounds. A safe load would be 2 pounds. This means you could safely have in addition to the 10 3" fish, one 8" inch fish and 3 10" fish. The thing about fish, though, is that they grow...and reproduce.
BTW, my website is at
http://www.gardenendeavors.com/ . While my website has only been up for 10 years, I have been messing with water gardens for over 35 years.
Caveat: ALL ADVICE IS WORTH EXACTLY WHAT YOU PAY FOR IT!