You really don’t strictly need coilovers for the the track and the majority of cheap ones (under $1000) generally tend not to last more than a few years of hard use, and are more of a cosmetic (lowering) street mod than an actual performance one. Good coilovers for the track are going to cost a fair penny and are also a waste of money unless you’re running 200TW or lower tires.
A B6/Swift Spring or B14 setup might do just as well if not better if you’re on a budget and just doing HPDE events, as I assume that’s what you mean by “thinking of going to the track”
But really, unless your stock shocks are toast, no one says you can’t just run the stock setup for a while even on non-competitive track events.
Spend the money first on some good tires and a trackday, do a driver upgrade and maybe think about a sway bar, H&R camber bolts, some rear camber plates and a good alignment if you haven’t already. Negative camber less than 2 deg won’t be a problem on a daily driver
Once you’ve got a few track days under your belt, it’ll be more obvious what direction you might want to go for suspension upgrades.