Neither F-1 or F-2 are "careers." I'm not sure what you are asking. They are just ways for you to enter (and legally stay temporarily) in the US.
The real odd thing is why were you denied the F-2 visa? With this information, it is almost certainly going to be necessary for you to contact a US immigration attorney if you have even a prayer of getting admitted. If they believe you are gaming the non-immigrant intent of your F series visa, they likely will deny you no matter what you try.
OP might not have proof of ability to support his/herself. OP's spouse's financial support plus OP's financial assets might be insufficient to satisfy that requirement. It is not unheard of. After all, graduate student stipends are designed to support an individual student, not a family, and F-2 visa holders cannot legally work.
If OP was turned down for financial reasons, then unless finances have changed, OP should not apply for the F-2 again.
If OP sincerely wishes to study in the US, then OP should apply to, and be accepted by, a graduate program at an accredited school before applying for an F-1 visa.