How is the TT mounted, there is room to improve the presentation from it and not too much money will be required if a DIY approach is tried.
Trialling a Few Platter Mat Materials will usually have a cost attached if a few loaned ones are not able to be arranged. Exchanges of Mats a can also produce one that can have a real impact in uplifting the SQ.
A Phonostage can be considered, a shop demonstration and home trial is worth trying to arrange, I don't suspect this will cost much money to achieve.