How can I continue traveling while applying for the EB-5 visa?

You can set your case up for consular adjudication, and then travel should not be an issue, as you can claim you will return home for that appointment. If in the U.S., you can apply to adjust status, but you would need to wait for the travel permit to leave – about 3-6 months after I-485 is filed.

If you have an H-1B or L-1 you can file concurrent and travel, L-1 is best. Maybe best to consular process because advance parole travel permit can take 6-11 months so no travel unless valid H-1B or L-1 visa.

Once you become a permanent resident through the EB-5 process, your permanent home is supposed to be the United States; however, you can travel as long as you maintain your home in the US.

Once you have your green card, you need to primarily reside in the U.S. In practice, this means establishing your domicile here and avoiding prolonged periods of time outside the U.S. Specifically, you may face additional scrutiny if you travel outside the U.S. for more than 6 months at a time, or you travel so frequently that most of the time you spend outside the U.S.

Yes, you will be able to travel frequently to manage your businesses. However, if you are absent from the United States for more than 180 consecutive days, you will be considered as seeking re-admission upon your return. In such cases, it is highly recommended that you apply for a re-entry permit before leaving the United States.