Agreed, if your going to OC get the 4670K, and make sure CPU cooling is adequate. If you are not going to OC, the 4440 is just fine. Any i5 (particularly from the Haswell) is enough for good gaming accompanied with a nice GPU.
"Just food for thought", Also if not going to OC maybe trying bumping up a notch to the 4570 for higher clock, and still stay in good budget range.
This is much more than just a 4440 vs 4690k. Choosing one will take you down two different motherboard paths as well. The 4690k starts out more expensive, and only gets MORE expensive from there since you need a much pricier motherboard AND an after market cpu cooler. You're looking at an extra $100 minimum if you choose the 4690k.