It's real but the price with BP is way over the top.
I paid $1375 for my 1800 which was PCGS/CAC VG 10, but that was 5 years ago, but all the same
The 1799 is a very pretty coin, though, and if money's not an issue and you're not worried about getting out of it later, then it might not be such a bad price. That being said, my rule of thumb when dealing with any coin from the era over $500-$1000 is that unless it's a series about which I have a high degree of knowledge (e.g. Large Cents) I will buy certified every time, not only to protect me, but also to protect resale value.
Longhorn Coins & Exonumia
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ANA - EAC - TNA - SSDC - CCT #890
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