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What does the Discover prequal page offer you in APR?
Definitely not a preapproval with that wide range.
Your scores are still very low for nonsecured cards. I have similar scores myself and just did secured cards to get my aging started.
I personally have no issue with secured cards during rebuilding. Why does it concern you?
With scores that low I'd sit on the sidelines for a few months. You'll be surprised how much your scores will rise in just a few months. The only cards you'll be able to get now that unsecure are the Discover and BOFA (99/500) secured cards.