We Clark DOES have his Kryptonian wear he could use if he didn't feel like it exposed him even more than the suit. I can't see making Lois's in the same vein (especially as all I can recall the Kryptonians wearing were mostly black or neutral colors with maybe one "pop" here or there (Trey's gray, Lady Za-Ra's black with red trim, etc.) Also can't imagine Ultra Woman's clothing looking at all similar to Za-Ra's.
If Clark ends up wearing his black New Kryptonian uniform, then UW could wear a white version of her uniform trimmed in the colors of her uniform. Such as a teal mask, purple and pink crest, but the suit and cape white would make it seem more formal. Perhaps her mask could be a more formal arrangement. I agree heavier more regal material would also be good.
