You are totally correct in regards the different chipsets we have. Since you are interested in getting an i5-4570, it is important to say that this processor will fit in a 8 series board only because of the socket type so a 6 series board will not work with this processor.
As you said, Z87 and H87 & H81 are consumer chipsets but the Z87 is for the performance board and the H87 & H81 are media boards. I would say that a performance board will help you with the task.
Having a SSD with the operating system on it will definitely increase the performance during the usage of the computer but as a piece of advice, having a mechanical drives and using a SSD to cache the system will be much faster.
Resuming this, a 4th generation processor with a media series or performance series board will definitely help you and meet your expectations.