I definitely agree that making setup of the violin is very important. However, if all is set up properly, the best way to improve or change sound is going to be trying different strings. New soundposts and bridges, along with soundpost adjustments, can change and improve sound drastically, however so can different types of strings.
Dominants, being a low pressure string are not going to be as loud or projecting as Evah Pirazzi which put more pressure on the instrument. The same loudness may not even be achievable by adjusting the soundpost to find a tighter fit. The sound quality varies A LOT depending on what string you are using. The strings are really where the sound is initially created with the violin then amplifying it. Sort of like when various people speak into a mic. It may be the same loudspeaker however each person speaking into the mic will sound different.
With that said, you need to know what kind of sound you're looking for. Coming from Dominants, most strings are going to project better than them. Below I've listed a few string types and general impressions I've had using them, as well as, links to get them at the lowest prices.
Pirastro Evah Pirazzi- very loud string with quite a bit of brashness to the sound. It does project well but I prefer the sound of VTS.
Thomastik Vision Titanium Solo- very projecting string but with a much cleaner tone than Pirazzi. I personally used these before switching to Passione.
Pirastro Obligato- similar structure to Pirazzi with good projection, however a warmer sound than either of the above. I personally prefer either of the above or below as I think they project better.
Pirastro Passione- modern gut core string. Amazingly good projection and very beautiful tone. I do have to warn though that they do not behave like any of the above strings due to their non synthetic nature. Even when using methods to break the strings in faster I still had to play on them a week before they became pitch stable. You do still have to tune them more often than synthetics but for me, the sound is worth it.
That still leaves E strings. All of the E strings in the above set are excellent sounding. (not like the Dominant E) I prefer using a
Passione Heavy Gauge E string with a medium Passione A, D, G. I get more volume and projection with the heavier gauge and the sound not as thin and piercing. The Passione Heavy is still very manageable to play on however and doesn't require getting used to. It's particular nice for solo Bach when you have chords with open E strings; it blends much better.
Another good all around E is the famous
Pirasto Gold Label aka. Wondertone. Very easy to play on and with a pleasing tone. I just can't dig into it like I can with the Passione, and it does sound a little thinner.
I hope this helps and if you have any questions just let me know, or you could also contact
IUStrings.com. They are very good with getting back to you quickly.
-Emmanuel