I have something similar, vintage style, in the pipeline. Will probably use a fusible like Vliesafix (can you get a wash-away one?) and iron them on. If well pressed I don't see a problem with sewing over them with a dsm or longarm.
Won't the adhesive show thru the lacy areas? You would need to do some research to see if any wash away products exist. I know there are wash away stabilizers, but they are single sided.