Yes, there's always a possibility for them to ask for a company badge.

Do you have a AAA, AARP, Costco or similar membership? I just went to Hertz and plugged in your date and it comes out to $117 + $65 taxes for a full size pre-paid AAA rate. This is before adding any dollar-off coupons. I even priced $241 for a full size at Avis without plugging in any AWD/Coupons, or $276 when plugging in age=23.

Try inputting different company/organization code and also use the ones listed under "deals" on Avis/Hertz. Remember that rental prices usually gets lower the closer you come to your rental, so do a new search a couple of days before you arrive.