There is no solution to the problem, Yeshivas will never have enough money and the breaks will never be enough for those who need them.
However, I would think Klei Kodesh (rebbes and Kollel) would be willing to sacrifice more to have a jewish education, and could do with less of a break. After all, if they are really desperate they could always go to work, and the fact that they are in Klei Kodesh shows they are willing to sacrifice for yiddishkeit. Those who are working (possibly both parents) and can’t make ends meet don’t have that luxury, and may be “more at risk” of going to public school. (principles of Triage, give the most help to the most at risk) (Please don’t jump on me for this, but it is the reality.)