To all VH/ZB F2L users how do you do these cases?

There are lots of cases for what you described. Since you said VH, I'll assume that the edge is paired or about to be paired. For the paired edge I use y R' F' R U2 M' U' M or the mirror y L F L' U2 M' U M. For the unpaired edge I use R' D' L F' L' D R2 U R' or the mirror L D R' F R D' L2 U' L.
 
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