Yes. There have been one or two odd ducks with 3 channels or 2.1 but I cannot recall any 3.1 units. Get a 5.1/7.1 and use the channels you need to use.
Anthem, Lexicon, Meridian, Classe, Rotel, Parasound, Outlaw, Integra, Emotiva are all big players and have good if not great gear at all prices points from Meridian at the top, Rotel in the middle and Emotiva in the budget real but in a small room with no serious demands and reasonable expectations most any will do. For a budget either a used Rotel would work great as they have so much features and adjustments at a great used price and Emotiva is launching a super anticipated Processor within maybe weeks that is crazy cheap...............dont forget to consider HDMI and future or current desire to run it in any choice you make to avoid future regret.