From photos You have uploaded I see that the adjacent wall is also empty of shelves so I suggest several massive clean panels of varying length and drawer, also solid wood, or if you do not want to change the furniture can move Yours drawer. By remodeling the wall with plasterboard and highlighting on both sides with wallpaper, TV wall will become in the center of Your room. You said that the budget limit is 1000-4000 $, so I allowed to offer and two massive cabinets that are on both sides of the wall, which further underline clean and at the same time modern design of the room. The problem is I do not know in your country what are the prices of materials for the construction of such a wall with plasterboard and labor price. The total cost of all the furniture and wallpaper with the estimated quantities that would be required is 1677.06 $.
I hope that if You do not like my idea for design of Your wall, it will at least be inspired and You will turn the room into a dream place for rest and relaxation.