redsy.. whats up
you are asking if you should use #4 or #6 copper i assume. well # 6 would get you within code #210-19 fpn no. 4. This came from 1993 code book by the way

States you cant have 3%drop from the farthest outlet of power. and no more than a total of 5%total VDrop, from the fedders to the farthest outlet.

calculating yours
(calculation for #4 )2kil/cm 2x11=22x8.3=182.6x1000'=182600/41740(cm of #4) =4.37volts. .03x120v=3.6 volts so # 4 wouldnt work

(calculation for #3 ) 2kil/cm
2x11=22x8.3=182.6x1000'=182600/52620=3.4v
#3 is imo the single size wire you would need to stay under that three percent voltage drop. would this be to big of wire you think. do you agree with me.