Hi, Vinnie.
Welcome to the forum.
Yeah, I think you're gonna have to look at robotics. It's all about horsepower and a pool like yours will require a lot of "oomph" to do a really good job. That's the robotics and not the little ones, either. Probably $1000 to get the cleaning you need.
The exception would be if your pool was screened or some other less than normal situation that would create less dirt in the pool.
Several good brand names to look at but you'll soon find the cost of the robotic is based on it's "cleaning" power......not it's brand. Do not expect a $400 cleaner to clean a really big pool as well as a $1200 cleaner.