This should work for most Verizon S5 ROMs on Sprint S5. (Also works for S4, S3, and Note 3)
First, make sure you have a bootloader that supports the correct Android version. (e.g. installing 4.4.4 Verizon S5 ROM may require you to have Sprint 4.4.4 bootloader on your Sprint S5, otherwise may not boot.)
Currently I have tested 4.4.2 Verizon Roms on Sprint S5 with 4.4.2 bootloader but haven't tested Verizon 4.4.4 ROMs, will update when I do.
Second, install the Verizon S5 ROM normally with factory reset. It should install fine.
Third, Once booted, set the APN to Sprint 4G LTE as shown here:
Fourth, that will get everything working except MMS sending. To fix MMS sending, just use 8SMS app from Play Store and enable 8SMS as default SMS messaging app.
See my video tutorial: