Well what "big" dick is kinda depends.
If the girth is very high it'll be painful no matter what. (I haven't ran into this but I've heard).
Length really really depends on how rough it is. Doggy rough with 6" will be a bit bad painful. A sensual slow doggy with 8" isn't likely to be as painful. Same kinda applies for any deep position. Being rough really adds the pain.
Average: Probably near 5.7"? Tbf I don't sleep with anyone less than 4" so maybe that skewed it. The number is pulled out of my ass tho tbf ;)