So I should probably ditch the dry hop idea with this one? I'm assuming opening the llid for the hops addition would let the co2 escape and oxygen in? Or does the co2 settle on top of the wort?
CO2 does not form a blanket on top of the beer; there have been several threads here discussing that. I think people have that sense from seeing dry ice sublimate into gas which immediately drops down. But that gas is very cold, which is why it's settling on the bottom of whatever it is in. Once warmed to the same temperature of other gases, it no longer forms a "blanket."
It's good that you're thinking about how oxygen affects your beer. Prior to fermentation, O2 is good. Shaking the bucket, splashing the wort as it is racked into the bucket--these are likely good enough especially for dry yeast. Yeast need O2 to help form cell walls, which means it's necessary at the outset.
But at the end, O2 will especially hurt hop essences in beer, either aroma or flavor. You may also get an oxidation flavor like cardboard.
How to avoid? One is that you really don't need to secondary. That's only necessary if you're aging the beer a long time, or need to free up a primary fermenter for more beer, or maybe some special flavor you need to work for several weeks.
Another is to avoid the splashing and shaking that is a good thing at the beginning, at the end. I keg, so I do direct transfer of the beer from the fermenter into a keg that has been purged of O2 and is pure CO2. I feed the displaced CO2 from the keg back into the fermenter to reduce any O2 that may be attacking the beer from the surface.
And yet, there are a lot of brewers who bottle who produce great beers. Don't be nutso about it, just try to reduce O2 exposure post-fermentation where you can.
Don't ditch the dry-hop idea; just do as TANSTAAFB suggests, just put them in the primary when you were normally going to dry hop in the secondary. Just crack the lid, slip the hops in (in a bag is good), and gently reseal the lid.