Raglan Road with 3 "adults" and 1 "kid" with just entrees will cost about $100 ($25/adult, $9/kid plus tax and tip). If you want to add drinks, apps, or desserts, you're probably looking at $150.
Another "nice" Disney Springs meal will also run about $100-150 (Raglan Road is one of the cheaper ones, so I'd take what you spend there and double it).
So, 2 dinners will be about $250. If you go to normal chain sites the rest of the week ($12-$15 entrees, $6/kids), you should budget about $60/dinner for the other 5 nights out, if you again skip the "extras". So, you'll spend $550 on dinners out and can probably easily grocery shop for less than $250 to have lovely breakfasts and lunches...BUT..."most" of these meals in the room are not all, so if you decide to have 3-4 of these out (especially on Disney property) or you decide to have lots of drinks, apps, or desserts, your total might be a touch low.
I'd probably budget $1K and plan half lunches out, an "out" adult drink per adult per day (since I always have alcohol bought for the room - way cheaper

, and all breakfasts in...