L'Appetito is a good suggestion, and considerably closer than Fox & Obel. It really is a deli, so you can pick up packaged products as well as prepared sandwiches if you want some "stock" for the hotel room -- but as Amata noted, you're also close to Whole Foods and even closer to a relatively new Trader Joes (and a Jewel right there as well).
You're also only a block from
Quartino, which I just visited for the first time last week, and I liked it quite a bit. It's neither a steak place nor carry out, but it's very close.
I don't
think there's a PJ Clarke's in that building; according to Google Maps, the nearest is at 302 E. Illinois (near Fox & Obel, actually)
You're also pretty close to Lawry's, if you could please Mr. CL with Prime Rib instead of steak.
Trader Joe's
44 E Ontario St, Chicago, IL
(312) 951-6369
I don't know the Saloon, but I'm assuming this is the place JeffB meant:
Saloon Steak House
200 E Chestnut St, Chicago, IL
(312) 280-5454
Lawry's Prime Rib
100 E Ontario St, Chicago, IL
(312) 787-5000
Joe G.
"Whatever may be wrong with the world, at least it has some good things to eat." -- Cowboy Jack Clement