Just one guy's opinions...nothing more.
I've owned both and while lots of folks have no problem carrying a 1911, there is no way on earth I would be able to tolerate carrying the P220. I never intended it for carry, but I did shoot it with great success in IDPA. With a smoothed and lightened trigger, it was a fantastic gun.
I specifically selected the Elite because I wanted a big heavy 45. I sold it a few years later because I had no use at all for a big heavy, single stack 45. It just didn't serve any purpose for me, even as a range toy.
Between the two choices, I think I'd go with a 1911--although maybe the SAO variety of P220 in 10mm might be an option if I was okay with single-stacking 10mm, which I am not. I say the 1911 because for me it's a simpler, more-straightforward platform for choked-capacity 45 Auto, and for me, again, a gun with far more attractive options. I don't find the P220 very attractive, and it seems a bit top heavy in appearance. DA/SA isn't as big a deal as some folks make it out to be, I think my experience with it in IDPA proved it's something of a non-issue--but it solves a problem I don't have, and is a bit klutzy, IMO.
For carry, specifically, it's gotta be the gun you've actually found you can get into action quickly and shoot fast and accurately. For me, that gun is the M&P 45c, which I would choose over any other 45 I've ever fired. For carry, again, the P220 was not even remotely in the running--I think I bought 3 different holsters convinced I'd find a setup that would allow me to carry it, and no setup was a reasonable option. But that's me, not you. I think a 1911 in the 'CCO' config would be a carryable option for more folks.
Enjoy the quest--that's what counts.