Ground beef is fine if you cook it chopped up, then rinse it under water.. That will get the majority of the fat off.. As a patty though its tough to rinse..
I like to take mine and do as above (still use 95/5 tho) and grind it up into smaller pieces as it cooks. This will allow the fat to be pulled from the meat and you can then put it in a strainer and run water over it and remove a substantial % of the fat. I then put it in a container and put some seasoning salt on top and shake the shit out of it...mmmmmm