i have an HP for scanning and day-to-day printing. when i want to print on fabric, though, i send it through my canon. the print quality of their pigment-ink printers leaves HP in the dust.
you can send freezer paper through a printer by itself, but it has to be properly prepared. it's much easier to just iron it to a piece of scrap fabric first. you can either press 'til it's nice and flat or let it rest under a heavy book for a little while.
only a laser printer might present heat issues. i'm not altogether sure i'd recommend using one to print on freezer paper - even if you've ironed it to fabric. and laser printing on the fabric itself is a waste of time and toner. it washes right out. (unless ... has anybody heard of any products that prepare fabric for permanent color laser printing?)