Sounds like you have made up you mind, but I will give my .02 cents.
First LD or no LD, don't get to wrapped in that conversation. You will compensate for that automatically with time. Most say LD has a shorter learning curve than standard, but my opinion is that each shaft has is own a advantages and disadvantages.
With your budget, I would get a decent case, As someone else suggested can't go wrong with a JB case.
As far as setup goes, with your budged . Case JB (my recommendation), then two cues, one for breaking and one playing, get a cheap break cue but make sure the joint pin on the break cue and and the playing cue are the same that way you can interchange shafts, when you are playing somewhere that damage is a concern to your cue, you can use the break cue and the 2nd shaft from the player.
My son used to race BMX the track moto was, "Its not the bike, it the rider.". With that I do believe, practice/lessons are more valuable than a cue as far as playing goes.
I have owned many cues Schon, Lucasi, Huebler, Colorado, Josey and many more currently play with Jacoby.
Final thoughts FROM experience, if its within your budget get what makes you happy, if your not you will spend more in the end.