Heya,
I would definitely go with the strobes. Granted, what power are they?
Depending on how you place the team, you should be able to cover all of them very well with two strobes.
I'd use the largest modifiers you have (60" maybe?). Drop ambient a touch, bring up the team with the strobes.
Even with "plenty of light" I bet that court is dark to a camera. Think of this, it's pretty typical to shoot 1/800s or 1/1000s, F2.8, ISo 12,800 in a basketball court to get close to correct exposure (obviously some are brighter or darker than others, but lets just call this common). Going down to 1/200s, F2.8 and ISO 3200 gives you the same exposure, but at flash sync speed on most cameras. Notice you still need ISO 3200? That's how dark the courts are. Even with bright lights. So maybe in a much better lit court, it might be only ISO 1600, but think about it, that's still dark. So if you shoot at 1/200s, F4 (depth of field to get all the faces) or even more narrow (F5.6, F8), and ISO 100, literally NO ambient light will hardly come through, so your strobes will be doing all the work--meaning, no shadows to worry about other than those you make from placement of team members if you stack, so pay attention to that. So if you shoot 1/200s, F8, ISO 400, you should have plenty of depth of field and sharpness (assuming a wider angle lens of course, not 200mm, more like 35mm~50mm~70mm if you have a ton of room), that's still -6 stops of light from 1/200s, F2.8, ISO 3200. -6 stops from proper exposure, is very dark, near blackness except for the brightest points. So, again, your strobes will do all the muscle work, even at moderate ISO. This is good though, it lets you get a dramatic look. If you want to blend, shoot at 1/200s, F8, ISO 800~1600, and have ambient 1~2 stops lower than the your strobe exposure. You could also drop shutter speed instead of raising ISO, if you want more ambient, but I tend to go with synch speed for that (think how many eyes that are blinking, you need to get it with ALL of them not blinking, so count it out and make sure they follow your commands to not blink and smile or whatever you want them to do!). You get the idea...
Very best,