Student Status = Non-immigrant visa
Asylee = immigrant.
Theoretically, you can't have both! But you have to make sure that your student status is still valid. Yep...becoming an asylee doesn't invalidate your F1 student status...as long as you abide by the F1 student visa rules. Down the line, someone might be interested to know why you wanted to keep both status because it doesn't make sense. When you travel abroad, you can only be admitted into the US under 1 category, not two. When you come back after traveling, CBP will cancel one of your status....the embassy will say that you are not eligible for an non-immgrant visa since you asylum status shows intention to be a migrant. Basically....you can't travel back to home country...why:
1. Your F1 student status will be cancelled...you are not only intending, but you have clearly shown that you want to be an immigrant
2. Questions will be raised if you go back to home country with your asylee status, could get tricky coming back in the country or gc/citizenship application.
If you don't travel, then you can maintain dual status, but that doesn't have sense. What is the benefit of maintaining both status?
1. You can still travel the world with your F1 student visa, as long as it hasn't expired....if it expires, you are required to go back to your home country to reapply for the visa. But if you stay in the US, the visa is valid indefinitely as long as you are going to school etc. But that destroys your plans, because you want the F1 student visa for unlimited travel, including back home. Of course, you can't work more than 20 hours week during school terms. You can't drop out of school. You can't change schools willy nilly. And MOST importantly, you can't apply for jobs here in the US, unless if you have OPT authorization.
2. As an aslyee, theoretically, you can do all things, except going home. You can't go home again. I haven't gone home since 2007
. Of course, you can go home with your student status, but there is no guarantee you will have your student visa renewed by the embassy. Don't know if CBP will allow you back into the country.
I think that, theoretically, you need to take action and stick to one status. Dual status doesn't help you as explained above. In fact, using benefits from the dual status might put you in jeopardy in the future. If I was in your shoes, I would do the obvious thing: stick to asylee status. You can still go to school, work, etc. But you can't go home.
Even if you decide to stick to F1 Student visa, you still can't go home as soon as that visa expires....since you are an asylee. Of course, you can go home, if you file some documents informing USCIS that you are officially abandoning your asylee status. You can put down the reasons. You can take that submitted documents to your embassy, to prove that you have no intention of becoming an immigrant, ....it will be up to them to decide whether you are still eligible for a non-immigrant F1 student visa.
Ultimately, I'm failing to see the benefits of trying to be an asylee and F1 student at the same time.