Structure and support are the key elements for pulling off this look if you have a larger chest. Go for baring one shoulder instead of two. Having one shoulder covered will allow you to still wear under garments necessary to provide needed support.
You can also opt to layer a tank or camisole underneath your off the shoulder top which again, will allow you to have the support you need without exposing your straps.
If you opt for an off the shoulder dress, go for options that are structured and will keep everything in place since you won’t have your typical two strap support. Whether you chose to bare one shoulder or two, just remember less exposure is sexier then over exposed.