OregonTrail, Your first post. Welcome to the Forum.
it is a tricky question and, frankly, depends on how those 200lbs are distributed. The problem is similar to trying on pants. I can buy three pairs of pants, all the same size, from three different manufacturers. They will all fit a little differently; maybe one pair won't fit at all. Same with Kayaks.
By "looking at", I'm guessing you are viewing a photo on the internet, otherwise, you'd be sitting in the boat. If you can't gain access to that model, maybe there's a dealer who carries that model or others in the Delta line. Delta's website says that the Portland REI (who have a sale in a week or so) and a store called Portland Kayak (6600 SW Macadam Ave) are dealers.
My "warning" tale is about the Eliza Necky, but really about boat sizes in general. The Eliza was touted as being designed for a woman's (or small stature) frame. But when my paddling partner Joy tried it out during a local "Demo Days", she did not like the fit. Also, years before I was ready to buy a used Kevlar Necky. So light, such beautiful cosmetics. But I just couldn't fit in it comfortably; the deck was too low for me. Note that there was absolutely nothing wrong with the Necky. It was just the wrong boat for Joy and me. We wouldn't have known that if we hadn't sat in them (or any Necky) first. So it is with other boats and other people. The boat might be just fine, but not for you.
Even if you can't find the exact Delta 12.10, do see if you can (probably at REI) sit in some Delta to see how it feels. You should be able to comfortably lock yourself to the boat with your knees and rock it from side to side.
Okay - after all that, I don't understand why you are going to the same size boat (the Delta is just under 13 ft) as what you have. You didn't mention the model of your current boats, but if you have 12 and 14-foot boats and you are considering a 13 ft boat I don't see much of a transition. What are you expecting to gain?
Congratulation on considering adventuring out on overnight trips. You get to bring all your camping experience and add the water element. Another thing it adds is a safety element because I'm guessing you will be going out to further and relatively more remote areas. I HIGHLY recommend you and your partner practice a self-rescue technique and an aided (one person in their boat assisting another who is out of their boat) technique.
It will have three results. First, you will gain, through actual experience (great teacher), appreciation for, "Dress for the water temperature, not the air temperature" (and probably never just carry your PFD on your deck again - if you have in the past). Second, you'll learn not to be afraid of tipping over. On a hot day, it can be refreshing. It's just an event. You go over, you get back in. Knowing you can get back in your boat by yourself is a great anxiety reducer. Third, it will strengthen a bond/team association with your paddling partner. If there has been any past tendency to paddle some distance from your partner, you'll start thinking more about the benefit of staying closer together.
As far as a technique for self-rescue, many start out learning to attach a float to their paddle, "seal" up on the back deck, and rotate into the cockpit (YouTube videos are your friend). My preferred method is called the "Heel Hook" (Again, YouTube). It is a lot easier for me. The one "watch out for" with the Heel Hook is a tendency to scrunch into a fetal position. You want to stay elongated. What I'm saying will make sense when you try it.
Again, welcome to the forum. Be sure to read some of the posts in the Trip Reports sub-forum. And next time you are near Powell's see if you can buy a used copy of "Sea Kayaker Deep Trouble" (vol 1 and/or vol 2). It's great reading in early spring to "get your mind right" for summer paddling.