Let me say have been fishing over 40 years and tried all sort of reels. Everyone has a different casting motion and personal preference so take it for what its worth. Several years ago a friend put a Diawa Exceler in my hand and I fell in love. I started using one of those and several Daiwa Tatula, Tatula Type Rs and Tatula CTs. I quickly sold off a bunch of Shimanos (including a Chronarch E7 and some green Curados).
Before you spend big money on other reels I want to ask you how you adjusted your Tatula R. These reels do not work properly, or more accurately, work to achieve their best casting distance if you adjusted it the same way you adjust every other baitcaster.
Let me explain the difference a bit. In most cases you spool a reel, run your line out the guides tie on a lure and adjust the spool tension according to how fast or slow you want the lure to drop. That will inhibit your casting distance big time with any Daiwa reel that has Mag Force breaking in it, especially Mag Force Z breaking which most all the Tatulas have.
I am not sure how well you cleaned and lubricated your reel. I would suggest you send it out to someone like DVT to have it's maintenance done professionally. You might also consider upgrading a few bearings and replace the bushings inside with a few bearings. This has made some Tatulas run as smooth or smoother than reels much higher priced.
Anyway back to its adjustment. Here are two videos. The first explains the break systems Daiwa has used. Your reel is the last one in the video(with mag force Z). The other video explains how to properly adjust your reel. I will get some disagreement on this point,but I have heard this point from a few pros and I always follow this tip. I back of my drag ( the dial on the outside) before adjusting the spool tension. I then set the dial to half way, or 10 out of 20, after the spool is set correctly. Try this before you spend any money. Give it a few casts the way you normally set your reel and then follow my method. Let us know the difference. Also, be sure the lure you are throwing is heavy enough to fall in between the spec of the rod. This is essential when testing this out.
Notice, Brent is talking about the newer Daiwa Tatula SV TWS. All the Tatula family reels adjust the same way so you need to adjust it as he tells you. It will feel way to free to you and that is true if this were any other reel. Daiwas are not any other reel. I hope this helps. If you think you might want to upgrade that reel just let me know, I have several friends that will lead you down the right path on those reels. They live and breath fishing reels, all brands and know all the tricks.