I doubt seriously that a new drum is needed, unless you are looking for an excuse for a new drum! You need to just step back and regroup.
First of all, get a pencil and paper and actually write down what sound you are trying to achieve. Yes, write it out! It forces you to focus your thoughts on what you really want.Too many people spend good money trying to obtain a "phantom sound" that they themselves can't even describe. Make a detailed list and describe what you want.
Consider your current drum. . . is it metal? Wood? Do you have the right drum shell for what you want? Example: I recently bought a late 70's Acrolite. I wanted a concert snare drum sound, so I purposely selected a metal shell, but in aluminum, because it tends to have a crisp but dry sound. I avoided stainless steel because they ring to much for the sound that I wanted. Listen to different shells.Hammered shells will be dryer than smooth, metal brighter than most woods. Determine if what you have is going to give the sound you described?
Next, match the head for sound that you want, and how you play If you play heavy, look for that kind of head. In my example, I selected an Evans Genera dry to compliment my dry shell. It is single ply, 10 mil.with a sound control ring to help eliminate too much ring. I finger tightened the lugs, then tuned up slow at 180 degree turns (half turn), checking tuning after every complete round of tightening. The drum should make the same pitched tone at each lug. Ddn't be in a hurry! Recheck your written list to see if this is that direction you want to head. always check against your sound list! After once around the lugs, I go only 1/4 turn at a time as I tune up.
Take off the bottom head and start over, following the same procedure as the top head, going slow. As a rule, the snare side head should be about a minor/major third higher in pitch than the batter.Use a stick to test at each lug. A 3 mil. clear head is good for most drums. Stop and recheck progress so far. If you are far from what you wanted, recheck your head selection and tightness.
Install snares The snare should be matched to produce the sound you want. I wanted dry and articulate, so I selected Puresound concert 16 strand. If you want a dry sound, go with less strands. For a wetter, more buzzy sound, add to the snare strand count. Make sure that the snares are evenly spaced, and have even tension from side to side. stop and reread your sound description. Are you on track? If not, write down what seems to be the problem, then rethink whether you selected the right combo of parts. Before you spend money, get advice, which you have just done.
You must stay focused on what you are trying to attain. Most guys who are unhappy with their sound are that way because they are always trying to sound like something else, and that changes all of the time, like the Sahara sand dunes! If you cannot consistently describe what you want, you will never attain it. Quit listening to everyone elses sound. Focus on your sound!