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?

Glow Resources

Let’s Glow

Glow is here for you on your path to pregnancy

Glow helps you navigate your fertility journey with smart tools, personalized insights, and guidance from medical experts who understand what matters most.

25+ million

Users

4.8 stars

200k+ app ratings

20+

Medical advisors