Actually this would be a good time of year to thru-hike the trail. The trail is so flat that you could knock out massive miles per day. In a normal year, the trail would have large sections under water from the usual wet winter. I was out on the LST last week and it is extremely dry. This means that you'll have to cache water near road crossings, of which there are many.
You can get maps from the Lone Star Hiking Club website to plan your hike.
