Burr's 2010 performance was pretty much the ceiling for what Republicans can get in North Carolina these days. I looked at the 2008 McCain/Obama numbers and there are a number of districts that McCain barely won. SD-09, SD-17, and SD-27 come to mind.
I wouldn't call it the 'ceiling' per se, but yes, he did perform about as well as a generic Republican could in NC.
I'd also add SD-15 and SD-18 to that list.
Here are the Senate numbers: (from DKE)
Pres Party Line
# Obama McCain Margin Dem GOP Margin
1 44.8% 54.7% -9.9% 59.1% 40.0% 19.1%
2 38.9% 60.6% -21.8% 48.6% 50.6% -2.0%
3 62.3% 37.5% 24.8% 81.6% 17.9% 63.7%
4 66.1% 33.6% 32.5% 81.9% 17.7% 64.3%
5 62.2% 37.4% 24.8% 75.5% 24.1% 51.4%
6 39.6% 59.9% -20.3% 49.5% 48.8% 0.8%
7 39.1% 60.5% -21.4% 50.4% 48.9% 1.4%
8 44.1% 55.4% -11.3% 54.4% 43.8% 10.6%
9 47.8% 51.6% -3.8% 54.0% 45.0% 9.0%
10 41.5% 57.9% -16.4% 54.3% 44.8% 9.6%
11 41.5% 58.1% -16.6% 53.4% 46.0% 7.4%
12 40.3% 59.3% -19.0% 55.5% 43.7% 11.8%
13 52.6% 46.9% 5.7% 79.4% 19.4% 60.1%
14 76.2% 23.3% 52.9% 82.5% 17.0% 65.6%
15 49.3% 50.0% -0.7% 48.3% 51.0% -2.7%
16 63.5% 35.7% 27.8% 65.7% 33.2% 32.5%
17 48.9% 50.3% -1.4% 47.6% 51.5% -3.9%
18 48.0% 51.3% -3.3% 55.2% 44.0% 11.2%
19 49.9% 49.7% 0.1% 61.3% 37.8% 23.6%
20 75.8% 23.9% 51.9% 83.8% 15.7% 68.1%
21 68.0% 31.7% 36.2% 77.3% 22.0% 55.3%
22 62.4% 37.0% 25.4% 72.2% 27.0% 45.2%
23 66.8% 32.5% 34.2% 73.0% 26.3% 46.7%
24 42.2% 57.1% -15.0% 50.4% 48.7% 1.7%
25 42.3% 57.1% -14.8% 57.6% 41.4% 16.1%
26 43.3% 56.0% -12.7% 48.8% 50.2% -1.5%
27 45.9% 53.4% -7.5% 49.3% 49.9% -0.6%
28 81.9% 17.8% 64.1% 86.7% 12.7% 74.0%
29 33.5% 65.8% -32.3% 35.4% 63.7% -28.3%
30 32.6% 66.4% -33.8% 40.3% 58.2% -17.9%
31 38.7% 60.7% -22.0% 41.2% 57.9% -16.7%
32 69.5% 29.9% 39.6% 77.4% 22.0% 55.5%
33 34.4% 64.8% -30.4% 39.7% 59.3% -19.6%
34 37.2% 62.1% -24.9% 45.2% 53.8% -8.6%
35 37.1% 62.3% -25.2% 38.5% 60.8% -22.3%
36 39.4% 60.0% -20.5% 44.7% 54.5% -9.8%
37 66.5% 32.9% 33.6% 68.4% 30.7% 37.7%
38 78.1% 21.5% 56.6% 82.3% 17.2% 65.1%
39 44.5% 55.0% -10.4% 36.8% 62.5% -25.7%
40 80.3% 19.3% 61.0% 84.1% 15.4% 68.7%
41 47.0% 52.5% -5.4% 43.4% 55.9% -12.5%
42 35.7% 63.5% -27.8% 40.3% 58.6% -18.3%
43 37.4% 62.0% -24.6% 44.2% 53.5% -9.3%
44 36.6% 62.8% -26.2% 40.0% 56.7% -16.6%
45 40.0% 59.0% -18.9% 45.6% 53.2% -7.5%
46 39.9% 59.5% -19.7% 51.9% 46.9% 5.0%
47 38.0% 61.1% -23.1% 49.1% 49.7% -0.6%
48 42.0% 57.3% -15.3% 44.6% 54.3% -9.8%
49 58.8% 40.5% 18.3% 66.2% 32.8% 33.3%
50 42.0% 57.1% -15.1% 52.7% 46.3% 6.5%