Battery Dead problems of the 2010 Chevrolet Tahoe

We have a 2010 Tahoe. 3 years ago we replaced the battery. After that the vehicle has been having the following issues. 1. Every 3-4 months the car dies while driving. Door locks, lights, radio, etc turn on and off rapidly while driving. Loss of power, steering wheel and brakes becomes stiffi. It has done it at least 3 times while driving 70 miles per hour on the interstate. I am shocked that we didn't crashed. Other times we have been driving 15-40 mph. 2. Battery dies when car is parked. 3. Key remote sometimes work and sometimes it doesn't. We brought the car to the location where the new battery was installed and they installed a new one. Issues continue so we started to do research. We found out that some Chevrolet vehicles have issues of compatibility with the negative cable of after-market batteries so we brought it to the dealership in eldersburg MD. They said they couldn't find the problem and could not recreate the issue even though we told them what we had found in our research. We paid several hundred dollars for labor and whatever they said they did. . . . We are still having the issues. Today it did it again. My husband said to pull over, turn the car off and wiggle the negative cable. I go to work just to find the car dead after 2 hours later. We read somewhere that there was an accident documented due to this issue. If you know if anyone at Chevrolet that cares or know of someone that can actually fix this problem I would appreciate the info. Thank you!.