You can apply for F1 but it is very likely to be denied. Your overstay makes you subject to a bar which will require a waiver but what I think will hurt you the most is that your family is in the US. That will make it very difficult for you to prove non immigrant intent.
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Whether or not you accrued unlawful presence will depend on whether USCIS told you you were out of status (as F-1 is typically D/S meaning duration of status). Having said that, I still agree with my colleague that being granted another student visa will be nearly impossible.
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If you stopped attending college in 2005 your F-1 was terminated. It means that you have accrued over 1 year of unlawful presence and, as such, are inadmissible for 10 years. This will make you ineligible for a non-immigrant visa. Moreover, you cannot benefit from your husband's TPS.
Your first issue is whether you qualify for any type of visa - immigrant or none immigrant. Your second issue is whether you qualify for a waiver which it sounds like you will need as a result of the overstay.
I suggest you consult one-on-one with an experienced immigration attorney.