I, too, have asthma. I spray baste either outside or in a large room on multiple tables. It was awful the first time I used the spray basting in my house. I probably oversprayed (too much and too wide a path). I tape or clip the backing to the table, spray half or 1/3 depending on size of table., place the batting on top, do the other half of the backing and batting. Then spray the batting and place the top on it, straightening it out.
I haven't tried Elmer's washable glue. If it's available as a spray, I'll sure try it.