As if you need any help justifying your LP GAS, here's how I see it: you have figured out that to have the Strat you want, you'll have to spec it/build it yourself. You really really want the LP. The Baja is a keeper, totally off the table.
By selling the Strats you're not bonding with, you remove distractions from the honeymoon period with the LP (as well as helping to pay for it). That allows you to fully enjoy the LP, but ensures that at some point down the road, you will start missing the Strats. As long as you remember that you want something they didn't give you (i.e.: a comfortable neck) you will be perfectly placed to work on replacing the "almost there" Strats with a "this is the one" Strat. Which leaves you with (as has been pointed out) the enviable position of having Tele, LP, and Strat. That pretty much covers it all.
(Until you realize you don't have a semi-hollow...)
"Tragedy is when I cut my finger. Comedy is when you walk into an open sewer and die." --Mel Brooks