It is usually just that your shoes are too tight. Your ankles and feet swell after you get really warmed up.
You can get tingly in that part of your foot when your shoes are too tight at the ankle, or across the top, and/or sides of the foot. I'd try loosening your shoes first. If that does not work, then I'd try riding with regular platform pedals and comfortable sneakers, to see if your feet go numb then as well. You could do this at the gym, as a test.
If these simple, fast, and cheap things don't help, then it would be worth it to go to your doctor sooner rather than later. You don't want riding your bike to feel like torture.
Good luck.