Finishing the degree from Embry-Riddle is not the ATP. It just qualifies you to get a r-ATP at 1000 vs 1500 hours. Your flight training will not take 1000 hours. You can maybe get your CFI and start teaching before graduation to get close to 1000 hours, but graduation does not automatically mean a restricted ATP. Don't be surprised spending some time instructing or gaining hours after the degree completion for a regional job.

I would read the Post-9/11 GI Bill flight training provisions very carefully. The VA has been expressing their concerns over inflating costs from flight training.