Then NZXT Source 210 will be best for you.
It will cost you around 3k-3.4k INR
You can install cpu fans of height upto 160mm , has 20mm space behind mobo for clean wire management , 230mm/330mm long graphics card( w/o hdd cage respectively), damn good cooling system at that price.
The only thing I didnt liked was it doesnt has Front USB 3.0 ports.
But that wont matter much , one can use back panel ports
With Antec X1 you are limited with cpu cooler height of upto 150mm and max. graphics card lenght of 280mm. Also its cooling system is not that good as compared to Source 210.
Couldnt find any details for space behind mobo but surely it wont be greater than 20mm since they are hiding this in specs
Edit: Antec X1 has width of only 180mm while Source 210 has 195mm
Buddy I've just found the perfect case for you.
Deepcool TESSERACT BF Cabinet Case www.deepcoolglobal.com/product/case/2013-12/9_590.shtml
It has a space of 22mm behind motherboard for wire management which is your main concern and comes at a price of 2.7k on Snapdeal. Cooling system is also good and has support for 240mm water cooling system. You won't find anything better than this at this price range, trust me.
Hope that helps