Go to Heritage Auctions; enter the coin date and mint; refine the search to coin and most recent results. Compare your coin in hand to their extremely professional images, make your judgment accordingly. Ultimately no one will give you a premium price unless the coin is certified, or unless they have rocks in their head.
I believe that by your definition of those who will pay a premium for an uncertified/graded GOLD coin, there's an extremely large segment of our population, including myself, with "rocks in their head", I'm constantly outbid at 110% melt value, and Hannes Tulving regularly offers these, in volume quantity - raw EF condition, at ~that price. I bid for these coins daily, and have yet to acquire, one in the condition that the OP imaged, at melt value. Please post yours in the CoinTalk "for sale" forum section.
If it is MS60 or better it may be worth a several hundred dollar premium, otherwise it is probably be worth the $1350 or so as an AU58. I checked auction records, it looks like this coin and date often goes for the $1600 plus pricing.
Like I said earlier, go through the HA archives to compare apples with apples: http://coins.ha.com/c/item.zx?saleNo=131137&lotNo=26704