Any tips for getting a smoother print under supports?

Hi Folks - I’m still pretty new to 3D printing and although my P1P generally makes things surprisingly easy, I’m wondering what I can change in settings to improve the surface quality under my supports. I printed this in PLA Matte (from Bambu) and my go to support is tree (automatic).

The first photo shows what the surface looks like when I pull off the support. The second just the mess of supports I took off. The third shows the top of the print where there were no supports (and the surface is beautiful)..

Is there anything in settings I should try to make this better? Is there a trick afterwards (like applying heat?😬) that may help? Thanks for your advice.