Awful iPhone situation. NEED HELP!

So I probably have one of the worst iPhone situations ever right now. I was tried to erase and factory reset my iphone this morning, using(settings>general>reset) option, and for some reason it froze during the boot and has been stuck with a circling logo.

I plugged it into my computer and was just going to restore it with latest ios7.1.2 but itunes won't recognize my iPhone. It doesn't show up when I plug it in.

I did some digging online and found out that you can get itunes to recognize your device if you put it into DFU mode.

Thing is, my power button is broken. So I can't put it into DFU mode!

There are few programs over internet that will allow me to put my phone into DFU mode without having a power button, but they all require my computer to recognize my phone when I plug it in. Can someone please tell me what to do I've spent hours trying to get this to work and so far nothing has. I have struggled a lot to buy this expensive phone & this circling logo hurts a lot.

I am looking forward to hear from you if there is any way..

(Here is no iphone customer care in Bangladesh)