I travel a lot within the same time zone and within 2 hours difference.
With such little time difference, I would make no adjustments to my basal dose or timing.
The only time I make adjustments (to timing only) would be if I am changing time zone by more than 3 hours,
As Lantus does not last exactly 24 hours (it varies for different people) and the dose is spread over that time, I always find it ok to change the time of my basal injection by two hours either way without risk of hypo.
When travelling, i would advise extra testing and corrections if necessary. If you are not used to travel, it is more likely for your BG to rise through stress rather than fall and lead to hypo. However, it is always advised to keep your hypo treatment close at hand.