E-2 are nonimmigrant visas, these are temporary (see: https://uk.usembassy.gov/visas/treaty-t ... /overview/
If you want to move to the US you need to apply for an immigrant visa.
Probably £100k is not enough to apply for an Investor visa to the US. You also need to consider all the other expenses apart from the main investment: taxes, legal fees, etc. However that will also depend upon the size of the business.
You can ask an immigration lawyer knowledgeable of this process about your options.