How bad is ethidium bromide in your plasmid for downstream applications?
Purification and isolation of DNA bands by cutting them from agarose gel is commonplace (Lee et al., 2012). The purification step after excision of the band gets rid of most of the EtBr and other impurities. E.g., see the websites from Isogen and Sigma-Aldrich.

Reference
- Lee et al. J Vis Exp (2012); 62: e3923