Re: unsure about conn shooting star tenor saxophone
If that is the case, why not keep it? If you are looking for a different sound, that is more easily achieved with a change in reed and mouthpiece.
If you just want something nicer, I would recommend looking at sites like Saxquest and buying a good, used tenor. When you buy new you get a nice shiny horn that will drop 1/2 its value in a year or two. Also, a surprise to many, new horns are not guaranteed to be set up properly. Better to get a reliable, well built used tenor that has been properly set up.
Most shops will also let you call them and discuss what you are looking for. If possible, travel to the shop and spend some quality time playing before you buy.