Question about changing colors

My hair is currently an orange red. Sort of like Donna's from That 70's Show, almost exactly but has faded some. It doesn't quite have much red, it seems to have gold and orange strands. The color underneath is blonde, like blonde blonde, no red whatsoever. I want to go back to brown, a nice chocolatey warm brown, something I can keep on doing myself with something like Natural Instincts since I want to keep my hair waist length and look nice but also keep it chocolatey and be able to grow my natural color if I desire. My question really is, can I just dye over this orange color to a warm chocolate brown? I would like to use Medium Golden Brown or Medium Bronze Brown in Natural Instincts (more like, the color I'd like to achieve), would this work? Or should I just remove the color with Salon Care Color Remover, which has never failed me, back down to the blonde underneath the dyed color (this won't effect my rootage, I've used it before) and then put on a porousity equalizer and dye it so it doesn't go too dark and holds better? Would anything work? I just can't afford the color anymore as my specific color isn't available in a box and my stylist charges about 80$ for a color, and right now, I can't even really afford to go back to brown, so I want to know if this will work first. Please help!

I'm not sure what Color Fix is, the Loreal color fixer made my roots orange, the Jherri Redding one didn't do anything. Salon care was the only one that removed color and left my color even with rootage (this is when I had auburn too). Ok, I may do that. Will the Natural Instincts stick to my hair with the protein filler? I hear the stuff is more permanent over dyed hair, and my hair has previously been lightly bleached to pale blonde before I went copper/orange red.