Genomic DNA resuspension after ethanol precipitation
Just a thought, have you tried eluting the DNA in Molecular Grade Water instead of TE? 


For DNA which are supposed to be used in downstream applications like sequencing or transformation, elution with Water instead of TE buffer is frequently done. 
I agree longer genomic DNA can be sticky upon elution, but if by chance the DNA is not entirely dissolved when you add the eluant (you see some very small clumps of flakes instead of a homogeneous clear solution) , that may be because of the presence of low amounts of alcohol (organic solvent). That's why it is recommended that after aspirating the alcohol, you should leave the tube opened for ~10 minutes for the trace amounts of alcohol to dry out before you add the eluant.


Sorry if you have done these things already, just wanted to be sure.

Hope this helps!