Based on the order number people have posted, and when they received updates. TI can process approximately 45 orders per day. The turn around for orders in the 265XX-267XX range was approximately 4-6 days from ordering to shipping notice, assuming TI was working over the weekend, which appears to have been the case. 
Based on this, we can assume that orders in the 27### range will begin shipping early next week. Either Sunday the 24th if they are working the weekend again, or Monday the 25th. Projecting out that means orders in the 28### range won't receive a shipping notice until April 12-19th. 
Hope that helps some people plan out their range trip dates as they wait. Take it with a grain of salt because that's just based on what I could find and it makes a lot of assumptions.