15 x 10 tire suggestions

Op, we need more info on what you plan to do with the car. Are you looking for slicks, drag radials, or just street tires, or autocross. Intended use determines recommendation.
If you want minimal sidewall bulge (section width) look for a tire with section width an inch to an inch and a half wider than the wheel, and tread about an inch narrower. I would look at 60 series aspect ratio, maybe 275/60x15. Up to a 10"rim, 28 tall, 10" tread width.