There is usually a service available that keeps the big truck out and sends a quieter smaller vehicle in to get the can and bring it to the big truck. I forget what that is called, but could be an option. Clearly not a total remedy, but not quite as noisy.
There is a cost for that service and many HOAs use it for their own trash pickup. Call the trash company and check out the options and cost yourself, and then pick a remedy that suits you and outline it on a request to both your HOA Board and the retail establishment.
If you handle it as a suggestion or request vs. a complaint, they will likely accommodate your solution, if you give the solution vs. the problem. Regarding moving the dumpsters, if you see an option for that, draw a map to where they could go and submit that solution as well.
Complaints are often ignored. But if you offer the solution, you may be successful.