I hope you have a great visit. I've loved staying at the Monteleone (and I live in New Orleans). I agree, you are pretty close to almost everything.
You didn't mention casual or fine dining, price or cuisine, but I agree with Galatoire's especially and it's so close! That's what I've done as well. It is a quintessential New Orleans experience for some point in your stay.
re: Suzy Wong
Another really close/convenient place where I had a pretty good (but not stellar meal) is Louisiana Bistro. You can go in, order the "feed me" and say how many courses you want and the chef will create a custom meal for you. I did it and most courses were very good, but there were 1 or 2 misses in between, though, I must admit. It was pretty affordable for what you got, though. 5 courses for $59 pp.
337 Dauphine St, New Orleans, LA 70112
Walk a few blocks W across Canal to.
Domenica @ 123 Baronne St., New Orleans, LA. 504 - 648 - 6020.
Luke Restaurant @ 333 St. Charles Ave., New Orleans, LA. 504 - 378 - 2840.
Mila @ 817 Common St., New Orleans, LA. 504 - 595 - 6774.
In the FQ go to.
Antoine's @ 713 Saint Louis St., New Orleans, LA. 504 - 581 - 4422.
Bayona @ 430 Dauphine St., New Orleans, LA. 504 - 525 - 4455.
Galatoire's @ 209 Bourbon St., New Orleans, LA 504 - 525 - 2021.
Mr. B's Bistro @ 201 Royal St., New Orleans, LA. 504 - 523 - 2078.
Nola Restaurant @ 534 Saint Louis St., New Orleans, LA. 504 - 522 - 6652. *
Palace Cafe @ 605 Canal St., New Orleans, LA. 504 - 523 - 1661.
Hell, anything in the Quarter is walkable from the Monteleone but, on a Friday, you might need reservations at some places. Mr B's is directly across Royal, Dickie Brennan's is around the corner, Acme and Felix are down at Bourbon, a block away, Antoine's is two blocks down away from Canal, Brennan's is en route to Anoitne's on Royal, Galatoire's is at 209 Bourbon---you'd almost smack into it if you could walk thru the block as you exit on Royal.
All that said, I'd bet Mr B's is more likely to accomodate you if you are getting to the hotel as late as 8:00. Most of the Big Boys have the last seatings at about 9:00...Dickie's has run a bit later and I have no idea how late the flagship Brennan's goes these days,
209 Bourbon St., New Orleans, LA 70130
The only exception that I would make would be regarding Dickie B's. Though a bit in history, we had 9:00PM reservations, and were seated at about 10:45PM, only to be informed that the kitchen was closing, so we could only order some few items. All of those were bad. I can only guess that each had been returned, during service, and not thrown in the trash.
When my nephew went to work there as sous chef, he could not get us to go back, though he promised that we'd not be served any "trash food." Once was enough for us. They would be the last on my personal list. Sorry.