Since you are not the typical Section 8 tenants, the key question is: Can you afford a regular rental that charges more than the Section 8 amount? Example: if your Section 8 voucher is $1268./month for a 2 bedroom, can you afford to pay $2,000./month for a 2 bedroom? Since you both have jobs and excellent credit, this means you can afford a regular rental for more than what Section 8 pays.
Therefore, you are to find a regular rental for an amount that you can afford ABOVE what Section 8 pays. DO NOT tell the landlord or property manager that you have a Section 8 voucher. Let them pull your credit and verify your employmet & income. You want to be approved without the Section 8. Once you are approved, then tell the landlord or property manager that the rent will be partially paid with Section 8 and you will pay the balance from your own income. At this stage, the landlord or property manager can't take back the approval or deny you - they already approved you. Worst case scenario - they could say something nasty or tell you that you should have mentioned the Section 8 earlier in the process. If this happens, tell them you will notify the Housing Authority and file a discrimination lawsuit against them. What will happen is the Housing Authority will send 2 - 3 "testers" - one applicant with a Section 8 voucher and the other applicant without a Section 8 voucher. If the "testers" are discriminated, then the landlord will face consequences.
Good Luck! Just to let you know - what I wrote will not work with the typical Section 8 tenant because most voucher tenants cannot afford to pay the difference in rent and don't have excellent credit.