The
Lowrance Hook 3X DSI uses a basic
455/800 kHz DSI Skimmer w/Temp transducer. According to Lowrance's
Sonar and Transducer Basics website, this transducer will only provide views directly beneath the boat, it will not give you views forward and/or to the sides. So, if you buy any Lowrance fishfinder with those features, it won't work. Usually, each fishfinder can use only specific transducers. Some can share the same transducers, but advanced models with more features may require more sophisticated transducers. If you need more information about a specific Lowrance model, you can contact Lowrance
here.
But, if you're willing to purchase a new fishfinder, why limit yourself to the existing transducer? If you're worried about mounting a new transducer to the TI, there usually is a way. If your TI is 2015 or newer, it has a built-in Lowrance mount on the bottom. I have a Hummingbird fishfinder and I was able to install its transducer to the TI using the Lowrance mount. It just took a little ingenuity that almost anyone with average DIY skills could handle. If you have no such skills, you could bring it to someone who does. Others have also mounted Garmin transducers to the TI's Lowrance mount. You can search this forum for examples.
In regards to the features you're looking for, many fishfinders will do all of this. My Humminbird 999ci does and it's a lot older than the newer models now with even more features. They're really quite remarkable.