What to do with a bra-less dress

Gibbeanski
I'm going to a wedding next month (DD will be 3 months by then), and I just ordered/received this dress for the occasion (convertible wrap dress):
I could not find a dress that I like that was also nursing friendly and then found this dress and figured this would work great.
The only problem is you cannot wear a bra with this. You'd either wear a nipple cover or one of those stick on bras. Since I'm breastfeeding, that won't work well for me at all. 
I tried to use one of my disposable nursing pads to see if that would work, and it works ooookkkaaayy but it's still a little lumpy and I still have no support (although I don't have huge boobs so it's doable if I need to go this route). 
Does anyone have a recommendation on other options I can try?