Definately go with 11-52 string size, as far as the tuning issues...
I have one with a TOM and it stays in perfect tune,
I have a Standard Fiesta Red JS stock bridge and it stays in perfect tune as well. So basically, in my tuning experience with these, if you just spend some time tuning the JS after fresh strings and stretch them and tune them and play it some and then tune again, you should be good to go, as I've had no problems with the above proceedure.
And as Robroe says, you will either love it or hate it, I personally love mine. 😁