Is the 6770K just a 6700K with well, some beefier iGPU, or is it just a 6700K? I need to get off my A10-7850K, but I've gotta wait for some money to come in anyway.
Do you accept escrow from the forum?
This.
Yes, beyond that I also accept PayPal and things like this too.
I'm actually a rather experienced merchant on other venues; so other platforms are ok too.
Even my BTC sales will come with a tracking number

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Edit: Also the 6700k is stronger than the 7850K but only when using DDR4-3000+ RAM.
DDR4-2100 which is entry level won't be fast enough and in that scenario you can expect things like Fallout 4 to literally run at 4 FPS as it is especially not optimized.
To take advantage of the HD530 you will also need a strong MOBO and a SSD at minimum; at maximum M.2 storage is preferred because it is so much faster.
Really, an i5 is essentially the same thing as an i7, because most games are not optimized to use more than 4 cores the hyper-threading of an i7 won't really bring many benefits at all.
In some usage scenarios, the i5 has shown to be stronger than the i7 especially when Overclocked on an ASROCK MOBO but this disables C-states and also kills the iGPU which seems to be a selling point for you.
An i5 with fast RAM and a good MOBO backed by some form of SSD will be enough; and in reality you could even get away with using an i3.
The most important thing ever when building around an intel iGPU is for the data-transfer speed to be very fucking fast; if you can meet that then it will beat a 7850K by a pretty big margin