... I have one external fan and no thermal compound. ...
With no thermal compound I'd have to say those temps are excellent...but I'd not run it until you get some. In a pinch, you can use any number of substitutes: toothpaste is actually highly effective. I wouldn't use any of the more humorous substitutes like peanut butter or mayonnaise as they contain salt which wouldn't be good if it contaminated the motherboard.
Even toothpaste, though, won't work well for long so get the real thing as soon as you can.
But if you mean to say you have none to re-seat the heatsink, I'd say what you have is effective enough for a 6300. I seem to remember desireable temps to be less than 65C (under all-core heavy loads) and a highest temp (of concern to overclockers, primarily) of around 75C. That's the Tctl which, as we've learned, isn't an accurate temperature but it's all we have to work with.
BTW: if you work in a technical field long enough you'll come to realize any measurement is not 'accurate', there's always inherent error. The thing to keep in mind is whether it's good enough for it's intended function and the Tctl temperature is effective for controlling cooling fans and getting an idea of it's instaneous thermal state. That's all the average user needs. For more, you need more esoteric instrumented test setup like the thermocouple arrangement.