I did my first few batches of link sausage and snack sticks thru a grinder with a stuffing tube. It was slow. As was stated earlier, If the meat does not go thru the grinder/tube fast enough, it can get warm. Temp is everything in sausage, you must keep it cold or the fat will 'break' and soften to a point where it becomes grainy. LEM has/had a my stuffer (5LB stainless steel) on sale. Don't know if it is still on sale or not, but if you do any stuffing at all, it is so much easier.
Some tricks while grinding/stuffing is to put the metal parts of the grinder in the freezer and also partially freeze the meat. I use grey buss tubs (sold at sams, two for about seven dollars or so) I use two at a time. In one, I fill the bottom with ice, put the second one on top of it and put the meat in it after grinding and before stuffing. It really keeps the meat colder. Also, if your recipe calls for water added to the meat mix, add ice water with a lot of ice in it.