The only way for you to get your own independent visa is to find your own employer. If you have a specialty occupation, then you may find someone to sponsor your H1B or you can enter under the TN, if you meet the requirements, but a diploma won't be enough.
You can only work on H4 status when you have an EAD and the only way to receive this is if your spouse has an approved i140. If they do not have this, then you cannot work under H4.