I ended up getting a set of the pirelli superbike pro's, basically an endurance slick, ran it the last two track days of last year without warmers and had no complaints, and based on other's experience they should last a good while. My next set will have to be changing up again as I'm likely getting my race licence in July and slicks aren't allowed in the class I'll be running in.
I see two basic schools of thought as being worthy of consideration.
Buy DOTs and Warmers BUT be aware that bonafide race tires are way more sensitive to tire and chassis settings and rider induced heat input.
Buy street tires to start, then move to race tires once you can properly exploit them and have the supporting resource of warmers.
The Q3s warm up fast and you can get away without warmers, warmup lap will build heat, lap 1 should get you close, lap 2 for sure gummed up nice.
The Rosso Corso take much longer to heat up, if I was going to race on those I'd want warmers otherwise you give up way too much time re your race's total elapsed time.
Regardless, if no warmers are in your program, get some tire socks and use those to help retain as much heat as you can.
Also, if no warmers, orient your bike on your stands such that the length of the bike is 90 degrees to the sun.
(meaning pit area selection becomes part of the equation)
If cold and windy, drape the bike with a blanket.