Hello
This is quite the distance but i do believe that your on the rite track
You are cutting it close with the # 10 but it should be ok
The only other thing i would suggest is # 10/2 with a ground and put it on a gfci breaker
I hope this helps if not let me know.If it did please click the {Green}accept button
A bonus is always nice and don't forget to leave feed back
thanks Glenn