You should be okay to go for Discover student card, though that's not guaranteed approval. Be prepared to see pending status and send whatever documents (generally proof of address, SSN copy, ID and etc.) they need. Once all docs are uploaded then simply call the number shown in the pending message (if there is one). If you get instant approval online then the above work can be bypassed.
Several students around me get Discover as their first cards, but there are some others who keep getting denied. Generally it's an easier card to get, even without history.
You may want an AMEX card this month or next so you have the backdating ability in the future. If you are not interested in the Gold card, then go to their site and check for prequalified offers online and see if there is any other one. Or you can wait for other mailed offers to come, which is not very recommended as it is much unknown if they come at all. Again, these prequalified stuff are still not guaranteed approval, just an indication you meet certain criteria and *might* get approved easier than the general public.
cliffs wrote:Do I stand a chance on a Discover IT Chrome Student? What about an Amex BCE? Any other?
So you do stand a chance for them, but no one can tell if you will be approved right now.
If you consider your spending pattern, like what categories you spend the most, you can go for a card that gives higher reward on those categories.