I would suggest a coronary angiogram through the wrist (or radial approach) may be preferable.
You may find in general that the current crop of cardiologists tend to prefer this route and it has been shown in innumerable studies that the radial approach tends to have better outcomes with less complications even in emergencies (ie in those presenting with sudden heart attacks).
This however is only true for those experienced in this technique.
Do note that approaches through the groin may be better for a select few patients, and your cardiologist should know which approach is best for yourself.