Netgo:
Any case will fit. I am using chassis for microATX board (my new project). Very small case, but found no problem.
The distance between your PSU and heatsink, it really depends on your case and CPU soket location.
No, it will not fit in any case, since the 7000A cooler will overhang the motherboard on most motherboards it depends on what clearence the chassi gives on the "east" side of the motherboard.
If does not matter if you use a microATX board or not, just the distance from the CPU sockel to the edge (east edge) of your motherboard.
On the image of your board it looks like the CPU sockel is identically placed with many other boards (e.g. NF7), so if you could measure the overhang of the 7000A on your motherboard it would be helpfull to a lot of people.
Personally I will not get a 7000A cooler, and I will not get a Sonata chassi either, but that is kind of beside the point.