I think it's smart to not go for the veneers. To be honest, I think veneers are usually only needed for those with crooked teeth (that don't want braces) or for those with chipping and irreversible discoloration. Since you just completed treatment with braces, I don't think you fall into either of these categories
Please keep us updated once you have your consult! Although this is a common situation it's not one that I often hear about, so it will be interesting to see what they recommend for it.