I know a friend who ordered a computer and had it sent to Aramex, but maybe it was not a Toshiba. I agree with Secretagent69, it might be easiest to order from Amazon, who will ship to Aramex no problem. If you want a custom-ordered laptop, you could have it shipped to a reliable friend in the States, who could then simply put a new label on it and send it to your Aramex box. I don't think my friend had any problems with customs when she ordered her computer through aramex. How often are you in the States? If you do not need the laptop immediately, or if you will be there anytime soon, you could order the laptop and have it sent to a friend, then carry it back in your hand luggage.
I know a friend who ordered a computer and had it sent to Aramex, but maybe it was not a Toshiba. I agree with Secretagent69, it might be easiest to order from Amazon, who will ship to Aramex no problem. If you want a custom-ordered laptop, you could have it shipped to a reliable friend in the States, who could then simply put a new label on it and send it to your Aramex box. I don't think my friend had any problems with customs when she ordered her computer through aramex. How often are you in the States? If you do not need the laptop immediately, or if you will be there anytime soon, you could order the laptop and have it sent to a friend, then carry it back in your hand luggage.