Note: This is just a trick for those people who think that the no dying thing is stupid.
Some people might think this is common sense but, you would be surprised.

So, basically all you need to do this trick is have a flash drive and basic dashboard navigation skills.

Step 1) (Assuming you've started a hardcore mode game) Play until you feel like you need to save.
Step 2) Save and Quit
Step 3) Return to dashboard and go to system settings < storage
Step 4) Plug in you USB device
Step 5) Press on hardrive and find Dead Space 3
Step 6) Find your hardcore save, press A on it an press copy. (be sure you press copy otherwise this will not work)
Step 7) From there select your USB and it will copy.
Step 8) Once it has moved remove your USB from the Xbox. Step 9) Exit the settings and start up Dead Space like normal. When prompt with the select device press hardrive. (NOTE: you should not have the USB plugged in at this point)
Step 10) Load up your save and continue to play.
Step 11) Rinse and Repeat (continue to do this as many times as necessary)

Hope this helps and once again this trick is for those who either don't want to have to start over every time or, just think that not dying is a bit absurd.
Please follow the instructions correctly as to avoid either corrupting or messing up your hardcore save.