First, I'll confess I've never bought a Lucky Craft bait. Something about $20 a bait bothers me. I do know many who swear by them. Oh well, when a boat fill up costs $50, maybe $20 a bait isn't so bad.
I think you are on the right track to fish early if you only can go for a couple of hours. Very early, almost every day in June and July, there will be a top water bite. Walking baits, buzz baits, and chug bugs are what I tie on before I go out.
To answer the question about size of the walkers, the last several years during June I've had more luck with the full size spook. The junior seems to be more of a Spring and Fall bait for me. One fairly consistent thing I believe - feathers on the tail of the walking baits seem to help. Silvers, pearl, and clear are my best producers.
Beware the Rock though. I swear, some days they all decide to be different.
Best of luck.