Hello! It is totally possible to bind and wear corsets at the same time. :) I’ve worn the Underworks tri-top chest binder with an underbust corset, and it’s pretty restrictive but it works. The corset holds in any tummy pooch that was created at the bottom of the binder, and the binder holds in any muffin top created by the corset. (Unexpected bonus?) I get a lot of armpit spillage with any kind of binder or sports bra, but I think that’s more on my specific body type.
Depending on your size and the shape of your chest, you may need to do some rearranging of your breast tissue within the binder so it works with your corset. e.g. your breasts may be flattened downward, and if you have an underbust corset that comes up too high, it can trap part of your breast uncomfortably. So you may need to pull the breast up slightly if possible, or opt for a shorter corset/cincher which doesn’t come up so high on the ribcage.
In terms of an underbust corset that will not emphasize the size of your bosom if you’re wearing a regular bra, this is a bit more difficult - by making the waist smaller, the corset is emphasizing everything else by contrast. So if you want to minimize this effect, perhaps you’d prefer a more gentle/ modern slim silhouette, as opposed to a dramatic wasp waist. Once again, opt for corsets that don’t come up to the underwire of any of your bras, to prevent the corset from lifting up your bust and creating a chin-rest effect.
In terms of overbust corsets, those that flatten at the front can end up sort of pushing everything upwards (as much as I hate the stereotype, think of a “bar maiden” neckline) so the flatter you make the center front, the higher you should raise the neckline of the corset if you’d like to keep the bust minimized. I think the corset I have personally tried that did this best was the Valerian overbust from Versatile - in fact, I felt that my bust was almost too small to properly model the corset, and I’m not small.
I hope I haven’t inadvertently said anything offensive. Body image is highly personal and touchy subject, and I’m pretty new to writing about it. But I hope these suggestions have helped in some way. :)