You can also sprinkle the tea on an area you need to purify.
Also you can use it as a wash on the skin to purify. Hands, head, Heart or whatever.
You can use a feather and dip the tip in the liquid and flick or splatter and bless an area or yourself that way too.
I like a nice turkey wing feather for cleaning/clearing.
I often will use a root smudge that does not give off to much smoke for smudging.
Bear root, Bitter root are some of my go to roots.
I am sure that it can't be any worse then cooking smoke.
Not to say you make a lot of smoke while cooking. LOL
P.S. There are many, many other things you can do to purify and bless an area
or yourself for a ritual practice.