A good way to determine which literary journal would be most likely to publish your work is to look at the print issues of various literary journals and see what kinds of publications they seek. In fact many literary journals will suggest that you read an issue to familiarize yourself with their material before you submit. You can usually find submission information in the first few pages of an issue or on a journal's website. If you have a journal title in mind and want to see if the library subscribes, you can do a journal title search in the catalog by going to the advanced search:
For some journals the library subscribes to the print and for most of journals the library subscribes to the electronic version with newer issues electronic and older issues in print. For example, if you search for Sewanee Review doing a journal title search in the catalog, you'll get 2 results. If you click the first title, you'll see the library's print holdings with call numbers and locations. If you click the second title (Sewanee Review Online) and then click the link for Full Text Available, you'll see the electronic holdings and which databases it's in. You can click the database with the holdings you need.
Sometimes students ask for a list of journals for which the library still gets the print. The library doesn't maintain a print list of literary journals, but these are a few of the titles the library still has in print that may accept creative writing: Arkansas Review (KQAR), Georgia Review, Hudson Review, New Letters, Paris Review, Salmagundi, Shenandoah, Southern Review, Southwest Review, and Virgina Quarterly Review.
Sewanee Review maintains a list of peers (see section called "Our Inestimable Peers") that can be helpful when trying to come up with literary journal titles. The library subscribes to many of them electronically or in print.