Bump. I can't be the only one using Better Cities and MiniMap.
In MiniMap.ini, make sure set MiniMap.bEdgeDetection is set to 0.
Also make sure the set MiniMap.iLocalGrid, set MiniMap.iLocalCropX etc (those 2 and the 3 on the lines below em) are set to the values listed as default (256 for the first one etc), since for some reason they actually default to 0. This fixed a few issues for me.