Ken,
I find when I feel warm my BP is lower than when I am cold. I KNOW that when the body is trying to disperse excess heat, that the major process is the dilation of the skin's artery system to allow hot blood to flood to the surface effecting cooling.
So, yes, it seems logical that warm compresses would dilate your arteries. To what extent it dilates your CORONARY arteries, I don't know.
Now for the opposite, I know that any exertion in a overly long stay in a very hot steam and/or sauna can BRING ON angina pain

! But I atttribute that to dehydration and OVERHEATING in an environment where it is impossible for the body to disperse heat. (120 degree F. steamroom and 195 degree F. sauna.) Steam has a more dangerous effect than the sauna because in steam there is NO cooling method left for the body!
I guess you could call that the yin and the yang of heat application


!