They have until the first week in July to sign draftees.
Stokes is a college senior. He'll get around $25k - about $115k under slot.
Eastman's anybody's guess. He has indicated he expects to sign. He (or his advisor) are obviously in no rush.
There's not much left:
Pick 15: DJ Carpenter. He's a high school kid, with a commitment to Central Arizona College (2-yr). Carpenter really wasn't a pitcher until this season (he was a catcher through his junior year), grew like six inches in a year. He appears to be willing to sign - but frankly, he might benefit from a year or two at a JC - if his talent is good enough to get him drafted in the 15th round after pitching for one season, he could be looking at a much higher pick in a year or two - which means a much higher bonus - higher than the Phillies can offer at this point.
Pick 17: Keylan Killgore. Junior pitcher out of Wichita State. In general, I don't like pitchers from Wichita St., because historically they come with arm issues. That said, he's not good enough that he can go back to school and command a significant bonus as a college senior, so he'd be foolish to turn down a $125k offer - and the Phils can offer him that with NO impact on the pool. Do that, and he either signs, or gives up about $100k in signing bonus. So there's no reason to offer Killgore one penny beyond the $125 that's free of pool impact.
Pick 21: Jake Smith. High school pitcher, committed to UNC-Wilmington. I have my doubts he'll sign - can the Phils offer enough to buy him out of going to school, possibly significantly enhancing his value in a future draft?
Pick 28: Jonathan Jones. Two-sport guy, appears to have collegiate interest for both baseball and football? Long shot.
Pick 37: Ryan Rijo. Another challenge here. He's a J2, with a commitment to Abilene Christian. Power hitter. One good season at ACU, and he's a college junior, eligible again next summer.
Pick 38: Stephen Jones. Samford University Jr. He's in the same situation as Killgore. The Phils can offer him $125k with no pool impact; he won't command that, or anything close to that, a year from now as a college senior. So if they want to sign him, they make an offer he really shouldn't refuse.
Conclusion: Killgore and S. Jones should sign. The Phils can offer them far more than they'll command if they go back to school. Beyond that, I'd focus on trying to persuade DJ Carpenter to sign, and do his development in the pro ranks, rather than at Central Arizona. Not sure that Jake Smith or Johnny Jones is worth being the fallback I might go after Rijo with the available $$ if Carpenter declines.