mixing board? i used to use a generic Mackie about 20 years ago, but digital recording through your computer created a lot of changes. i mix on the Harrison Mixbus 32C DAW, which well emulates the classic mixing board experience, I think. but any decent DAW will do the trick. my laptop and DAC let me record anywhere I want, but for sax i usually set up a mic stand in a small linen closet, with a rug and stuffed with towels, etc. (though its fun to experiment with natural reverb in larger rooms)
now if you're talking about recording sessions with more than two players, yes a mixing board makes sense (even it it's all still ultimately going through the one or two channels of your DAC). then you have to decide what kind of room treatment you want and probably acquire whatever baffling accordingly. though a nice room with natural reverb can tie together multiple instruments very nicely.