You need a serious printer and most basic home printers aren't going to cut it for long. I suggest you visit any of the printer websites and look over what they offer. Stick to commercial or industrial type printers, more robust ones. HP offers "Designjet" as a clue and Okidata is good source as well. However, none of these are going to be cheap. Take my advise and be sure the option for "direct paper pass through" printing for heavy stock is best. In other words the less bending or passage of paper as easy as possible. Understand there are other less commonly known printer makers than offer what you like to have but these are generally heavy duty sided models, so be sure not to dismiss them or seek "used". You may want to google for "printing services" just to see what they use.
I print about 40 photo calendars on heavy paper (40 - 90 lb stock) every christmas. I need a new printer (or two) that are made to do the job and do it well and fast. Any advice?
Note: I print on some calendars on both matte and glossy stock as well as card stock when requested. My 3 old canon pixma printers have done it for years but they feed regular paper poorly now and they are terribly slow taking about 30 hours to do the job.