My iPhone 6 is fried...RIP :'(
So I realize that there is really no hope in bringing my phone back to life, but is there any way that I could retrieve my data like photos, music, apps, etc. from it to transfer into a new iPhone?
iPhone 6, iOS 9.3.3
Did you back it up to either iTunes or iCloud? Note that if you had Settings > iCloud > Backup turned on in the phone that it would have automatically backed up while charging if connect to wi-fi. More information on setting up a new phone with iCloud or iTunes backup: Transfer content from your previous iOS device to your new iPhone, iPad, or iPod touch - Apple Support
It is also possible that you may have had it set to sync some data to iCloud (e.g., contacts, photos, etc). You can log in to https://www.icloud.com/ and see if any of the synced data is there.