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Given a forcing notion $P$ that forces certain values to several classicalcardinal characteristics of the reals, we show how we can compose $P$ with acollapse (of a cardinal $\lambda>\kappa$ to $\kappa$) such that the compositionstill forces the previous values to these characteristics.  We also show how to force distinct values to $\mathfrak m$, $\mathfrak p$ and$\mathfrak h$ and also keeping all the values in Cicho\'n's diagram distint,using the Boolean Ultrapower method of arXiv:1708.03691 .  (In arXiv:2006.09826 , the same was done for the newer Cicho\'n's Maximumconstruction, which avoids large cardinals.)

Controlling classical cardinal characteristics while collapsing cardinals