Google has posted the Android 4.4.2_r2 LTE images of the Nexus 7 LTE update. Google has posted the full Android KitKat factory image on their developers site, So you can download it and can flash it on your LTE Nexus 7 device.
Now you have two ways to get the latest update, one you can download the above mentioned image from the Google Developer Site and flash it and other recommended is to wait for the OTA update. As in the flashing method you need to devote some device for your device to learn rooting, flashing processes and also as according to sources update is very near to rollout. So better wait for few days as you have already waited for months.
You going to flash it or going to wait for the official rollout?