Thought maybe if i got rid of the lte switch it would go back to 4g. Well no luck! I set it to LTE/CDMA/EVDO then unistalled the lte app. Now all i have is 1x. Verizon will be seeing me soon!
Have you tried 'phone info' app in play store? Download it and scroll down to set select preferred network type and choose 'late/CDMA/evdo'. I'd it does not switch after a minute minute, select the turn radio off option just below preferred network type and then turn it back on.
Since I have a similar problem, I tried every suggestion to no avail also. It appears like the PRL is required. Right now I am on 3G using "CDMA auto (PRL)" and that works fine but does not get me LTE. There are 5 options that contain "LTE", but none of them will get LTE (my wife has the same phone with ICS, and it is nearly always on LTE, so I am definitely in a 4G LTE service area.) If there was a "LTE/CDMA/EvDO auto (PRL)" I bet that would fix it, but it isn't in the list of options for preferred mode.