The Benz SL cartridges have an internal impedance of 12 ohms. It’s kind of on the line for a transimpedance phono stage. No reason not to try it, but only with a return privilege. You cannot use a transimpedance phono with a SUT, so it’s one, or the other.
I use SUTs with all of my phono stages, but in your situation I would look at upgrading my phono stage, rather than adding a SUT. There is no right or wrong between high gain phono stage, phono stage with SUT, and high gain transimpedance phono, just personal preference. All can yield marvelous results.
Many folks use primary, or secondary, resistive loading on their SUTs to change the impedance. I prefer not to, but it can be necessary in some applications. The Ned Clayton Cinemag 1254 SUT, mentioned earlier, is very reasonably priced and has switches for four different impedances and gains, 1:10, 1:13, 1:20 and 1:40. Kind of the Swiss army knife of modern SUTs.
If you want to play with transimpedance, Hagerman makes an inexpensive transimpedance head amp that could be used in concert with a conventional phono stage like yours.

