I replaced my brake pads both front and rear about a year ago. Our enclave is from Florida and the rotors looked pristine. The pads were just getting low, we had no shaking. I didn’t want to put the cheap chinese junk rotors on so I just did new akebono pads.
Most aftermarket rotors on the market now are chinese junk, cheap but still junk. You could try a set of rotors from a local dealer or perhaps an online dealer that sells original parts. Almost always when you touch your brake pedal and get a shaking it’s the rotors.
You might try “bedding” the pads and rotors. Take a drive on a quiet road get your speed up to about 60 and push firmly on the brake pedal till your speed drops to about 20, repeat 4-5 times. Then do about 15-20 minutes of regular driving to allow the rotors to cool off somewhat. Be careful of traffic behind you.
I had a similar problem once, not with our Buick, I put brand new rotors and pads on my car and shortly had a shaking, I used good quality German made rotors and what I thought were oem pads. I couldn’t get rid of the shaking, and I refused to believe it was the rotors. I swapped out the pads and the shaking went away. Apparently I got cheap pads in an oem box, I should have known better based on the low price I paid for them.