Tim's Answer: There is such a thing as a black and white profile, which is more commonly referred to as a grayscale profile. However, I don't generally consider this to be an ideal solution when it comes to dealing with a color cast in black and white prints. This is because the primary focus of a black and white profile, from my perspective at least, is to linearize the printed data, helping to ensure that tonal values are represented properly. That won't solve the color issue for printers that use colored inks to create black and white images. And, of course, printing with only the black ink, even if combined with one or more shades of "light black" ink, will result in a print that has a much smaller number of possible tonal values, resulting in gradations that aren't as smooth as they could be or a loss of detail in some areas.
Instead, I generally recommend taking advantage of the rather advanced options for optimizing black and white prints using the printer software. This generally calls for using the option to let the printer manage the color, rather than having Photoshop or Lightroom perform this task. Then, you need to configure the black and white printing mode with your printer's software.
For example, with your Epson R2880, you have an option to use the Advanced Black-and-White Photo Mode, which I highly recommend. This mode provides you with a simple option for achieving extremely accurate black and white prints, including the ability to achieve truly neutral prints without any hint of color.
The particulars of using the advanced options for black and white printing will vary, of course, from one printer manufacturer to the next, and even from one printer model to the next. But in my experience this approach provides the best solution for creating excellent black and white prints with minimal effort.