my iPod5 wont turn on and wont respond in itunes and the home button is broken

My iPod 5 wont turn on the screen just stays blank, its fully charged. I was listening to music on it and my playlist stopped so i went to go and put on another playlist and it wouldn't turn back on i have tried plugging it into my computer but it wont show up when i plug it in. The home button on it is broken so i cant go into recovery mode. I have even tried holding the volume and home button but nothing will work. I have already gotten it fixed once and i'm not willing to pay that kind of money again. Can someone please help me?

P.S apple should have removable battery so when this happens we can take out the battery and it resets,just a suggestion

Sincerely~ Fed up with Apple and switching so Samsung😠