Definitely check the inner (and outer) tyre side walls as a matter of urgency for any 'carbuncle' bulges. I too had one (many years ago). You might also spot a grubby mark where a tyre balancing weight has dropped off, in which case it might be possible to fix the vibration by having just one wheel balanced. Although alloy wheels are typically balanced with glue on weights I have seen clip-on rim weights (of the type used on steel rims) used on the hidden inner side of alloy wheels.
BTW I have also had wheels temporarily vibrate due imbalance caused by mud adhering to the hidden side of the wheel after driving in a field .

So if you are able to safely check the wheels yourself for bulges, missing weights and mud it might be worth doing so. But ultimately it may be safer to have the car checked at a stop and steer specialists.