One of the writers on Cross Currents recently described himself as a Hirschian, in the sense of being in favor of work and not just Torah study, and I think he would describe himself as Yeshivish. So it’s possible.
Re: chassidic seforim, I recommend perusing Likutei Eitzos and other more modern compilations of similar works (google “Set aside time each day to meditate and pray alone” and you’ll find a chapter from one such compilation online for free.) There is a lot of interesting practical advice in those books. Even non-chassidim, such as well-known rabbis in the Mussar movement, have recommended them as mussar.
Of course everyone can choose their own derech and mystical things aren’t for everyone. I would just think an open-minded and intellectually curious person who wants to grow in their own Avodas Hashem would want to open a more mystically-minded sefer now and then to see if there’s anything useful.
As for the core values and daily study schedule for a Yeshivish person, I’m not the best person to ask. Keep in mind that not all the posters on this site would describe themselves as Yeshivish.