What we've been trying to guide you towards is a system that costs the same but performs better. I don't know what kind of prices you're able to find for an i5 4440, especially if it's new (Amazon.co.uk is showing 167 pounds), but its price to performance is lower than an i3 6300, is about the same as an i5 4460, which is still lower than an i5 6400, which is lower than an i5 6500. You're focusing on all the wrong things while expecting the extremes. Don't forget, a console plays at 720p 30fps, a world of performance apart from 1080p 60fps. The game is also coded differently for console. The PC version is coded to take advantage of modern, more powerful hardware. They list a 6600k as the
minimum and a recommended of a i7 4790 for a reason. It's not because the game won't run on weaker hardware, it's because they want you to experience the game in all its glory, not wade through the potato version and complain later. In short, BF1 was not designed to be run on a potato-tier PC.
The i5 4440, 4460, and 6400 all cost about the same, with like the biggest difference being 15 pounds. LGA 1151 motherboards are cheaper than their LGA 1150 equivalents. DDR4 is cheaper than DDR3 per gb. If you have the money for an i5 4440, may as well get the i5 6400, which performs better at the same cost, right?
I hope you understand where we're coming from. We've long since thrown the prebuilt idea off the top of the Empire State building.