The ‘quality’ settings are probably different with each printer. The 2880 has a max output of 5760 dpi, the 3880 of 2880 dpi. The ‘quality’ setting on the 3880 is 1440 dpi.
You might want to up the resolution of the input image to 360 ppi (pixels per inch) inch instead of 300 ppi. 360 ppi is a native resolution of both printers, 300 ppi is not. Alternatively, you might want to try printing for a better app, such as Lightroom or Qimage, both of which will allow you to set the output ppi to 360 for printing.
The other thing you could try, without going to better software, would be uprezing the image to 720 ppi in Photoshop, setting the 3880 for 2880 dpi, and turning on ‘finest detail’ in the driver. It will print slower, but ‘finest detail’ is there for line drawings and such.
You do not need a RIP.
Brian A