I have been using Qiagen Miniprep for small scale isolation (4-5 mL super LB culture), with pre-heating elution solution (TE/dH2O) as I was recommended, it gives two bands (smaller bands on 3-5 kb, while the another one is > 10 kb). I wonder whether the membrane column is not suitable for such a large-sized plasmid, But manual isolation using alkaline lysis also gives similar result. I have no problem when using Midi or Maxiprep.