USAA typically pulls EQ and EX as alternate. You need to have very decent scores (above 700+) and an overall clean CR. However, as a prerequisite, you need to be a member to be elegible for any of their products.
They have pulled EQ for both credits cards I have with them and the pulled EQ when I requested a CLI. So, only EQ in my experience. They have a secured card, which isn't hard to get. If fact, I don't think any of the cards are that hard... I don't think you need a 700 either.
USAA pulled EQ for me. I dont know what my score was but I didnt have an active credit card at the time. I had closed it about 2 years prior. I had a car loan for a year when I received an offer for the card in the mail. I was approved for $3000. Just my experience.