My son played HS football, so he shut down throwing from Sept till early December. He used December and January to get ready for spring HS baseball (weight lifting and throwing program). After HS season ended in May he played travel ball June and July. During the summer (June through August) he also did weight training and long-toss. He kept hitting during football and in the winter so he could maintain feel for his swing as his body changed.
Many position players don't shut down, including catchers. My son loved football and wanted to play so that's the way it worked out for him. Honestly, it was great for him to take a break from baseball (mentally and physically) and I'd recommend it to any HS athlete.
Regarding a 30 day break in throwing, I'm not sure that's enough to accomplish whatever goals you have. In my layman's opinion, if you are going to take a break, take a break (60 days or more).