I usually dye with easier to work with fabric, but it sounds like a rayon blend I tried working with. Have you considered a few drops of synthrapol in the dye to reduce beading and surface tension?
I just can't get myself to use a brush

, but there are many who do and get outstanding results. We all have our own ways!
I really like Kaufman's pfd fabrics for this: the best is Savannah Lawn, the Kona Cotton and Pimatex. Stuff is expensive unless you can get it wholesale. I have an account with them and have considered selling it over the internet at somewhat more reasonable prices, but there doesn't seem to be much interest.
Steve