First I want to give a shout out to The Informed SLP. I subscribed earlier this year and find it a terrific resource. Each month, Informed SLP produces a friendly and accessibly written digest of clinically relevant research, with a variety of reasonably priced membership options. They also have a free area with great information. Follow them on Facebook or other socmed channels for informative blurbs too. I appreciate Informed SLPs recent messaging about the importance of the other two sides of evidence-based practice: clinical expertise and client values.
I'm not ashamed to admit how much I nerdily visit ASHAwire. This is the launch page for all the ASHA publications. Its search algorithms can be a little hinky but it is always a good place to start, or just to skim recent issues of journals such as Language, Speech and Hearing Services in Schools. I also find a lot of value from the ASHA's Perspectives journal, which has practical clinical information throughout the year. Join one Special Interest Group ($40) and you have access to all the publications from all the interest groups. Click PDF on any article now and the website loads up ReadCube (you'll need to click add to library and open a free account), which allows you to save articles to your library and annotate them as well!
I have found ASHA's Evidence Maps website very useful. This is organized by disorder/intervention area and emphasizes higher levels of evidence such as meta-analyses and systematic reviews.
Finally, I'd encourage all of you who supervise graduate students to use or advocate for access to their university libraries online. Boston University provides this benefit to supervisors, among other schools. It is cost-prohibitive for any clinician to subscribe to other journals besides ASHA's, and it behooves any university to help keep its supervisors informed so that their students receive the best experience possible in their clinical placements.