Table of simplified formulas

 Summary Table

Formula	Original (SI)	Simplified  (Scaling Factors)
Thermal de Broglie	$\frac{h}{\sqrt{2\pi m{k}_{B}T}}$	$\frac{c}{\sqrt{2\pi f_T{f}_m}}$
Stefan-Boltzmann	$\frac{2{\pi }^5{k}_B^4}{15h^3{c}^2}$	$\frac{2{\pi }^5\text{Hz\_kg}{\text{K\_Hz}}^4}{15}$
Planck’s Law	$\frac{2h{f}^3}{c^2(e^{hf\mathrm{/}{k}_{B}T}-1)}$	$\frac{2\text{Hz\_kg}{f}^3}{e^{f\mathrm{/}\text{K\_Hz}T}-1}$
Wien’s Law	$\frac{hc}{{\lambda }_{\text{max}}{k}_{B}T}$	$\frac{c}{\text{K\_Hz}T{\lambda }_{\text{max}}}$
Debye Temperature	$\frac{h{\nu }_D}{k_B}$	$\text{Hz\_K}{\nu }_D$
Einstein Temperature	$\frac{h{\nu }_E}{k_B}$	$\text{Hz\_K}{\nu }_E$

Final Answer:

$$\boxed{{\displaystyle h_{\text{imperial}}=\text{Hz\_kg}\times \text{kg\_lbm}\times (c\times \text{m\_ft}{)}^2}}$$