I'll offer this in hopes that it will help you. First off the sound you are hearing if I am reading you correctly is pretty normal. It doesn't usually last as long as you describe but I have a couple of things for you to try.
First off get 2 cans of Chemtool B-12, liquid not spray. Wait until you are almost empty on fuel and when you go to fill up put both cans in first then fill your gas tank; also find 100% gasoline with NO ethenol. Second change your oil and go with a pure synthetic. I personally use only Mobile 1 and have in all my vehicles for the last 20+ years. I also only use WIX filters due to the higher volume of filter material.
The Chemtool will clean your system and ensure that none of your problems are caused by pre-detonation (not a normal problem but it does happen). I use it in all my vehicles about every 5th tank just to keep the system clean. For normal use I only use 1 can per 20 gallons of fuel. The synthetic oil has far too many qualities for me to go into here but just know that it's far, far superior to any fossil fuel oil. My NORMAL oil change interval is 10,000 miles. I advise paying attention to the recommendations of your vehicle taking into account mileage and tempreture range you will be operating under and adjust accordingly. If you are making the switch to synthetic I suggest you run the first oil change only 4,000 miles and change oil and filter. Then you can increase intervals between changes.
Hope this helps with your problem; give it about 3,000 miles after you make the changes before deciding if this cured your problem or not. Just for info, I'm a retired Quality Assurance/Safety Manager for a military base motorpool.