I'll risk sounding like a broken record again, but I can vouch for the prowess of the
Intel HD 4000 inside the i5-3570K in single monitor use for resolutions up to 1920x1200. I don't know how well it will handle dual monitors, but it is surprisingly good, even compared to budget graphics cards and not just old Intel integrated graphics chips. It is definitely worth giving it a go, as Mike said - my workspace has never been cooler and quieter than with the HD 4000!
If you do go for an alternative in graphics, I think the best bet would be a
GTX 650 Ti, which is currently the most bang per watt AND the least power hungry "mainstream" GPU. Less power, less heat, less noise. The cards regularly come with 2xDVI-out as well, and an Nvidia GPU would support CUDA, in case that ever gets supported in your work software. You can forget about the GTX 5xx cards, they've been outperformed in every way.
The SSD looks to be really small. Samsung 830s have amazing deals from time to time, and an older, established performance drive like the Crucial m4 (it is no slouch even today I tell you what) you might be able to find for cheap. The (small) price bump up to a 128 GB drive is seriously worth it in terms of performance and avoiding space issues. This would be the wrong place to save.
I second Pappnaas' observation about
Z77 being unnecessary. If you won't be overclocking or using multiple GPUs, H77 boards have been much more affordable. See this Puget Systems blog post for further reference:
http://www.pugetsystems.com/blog/2012/04/12/z68-z77-and-h77-whats-the-difference/. Only if the Z77 board has OTHER necessary features or matches H77 pricing should you consider one.
If the case+PSU doesn't pan out, check out Nexus 430 W Value for PSU - extremely compact, SPCR Editor's Choice and as the name suggests, will certainly not break the bank.