Congratulations on your approvals! You're definitely on the right track.
Since you were approved for a Target card and an unsecured Mission Lane Visa, I would avoid opening a secured card. It will hinder your rebuild efforts in the long run. I would check regional banks and credit unions in your area, BB&T and Regions Bank for example, for preappoved offers. I would also check for preapprovals on the CapitalOne and Discover once a month for a preappval.
With the two cards, your student loan, and car loan, you have an excellent mix at this stage of your rebuild. You should see your FICO score have solid increases once everything reports correctly. Once your score, hits 650 and you have at least 6 months of positive payment history, I would apply for a Navy Federal card. In my opinion they are getting conservative in their underwriting and approvals, so think smart when applying with them.
You got this. It's been 8 years since my CH7 bankruptcy and my Fico score currently range from 725 to 755.
The fantastic thing is NFCU cards will graduate and grow over time. If you apply now for the secured card, you will get approved in my opinion. I also believe that you should get approved for the unsecured card once your score hits the 650 barrier. You can't go wrong either way. I'm a huge NFCU fan. I actually use their savings account and CD to save money, the highest rates I can find.