oltage against high resistance is known to produce large amounts of heat (that's how stove plates work)
No, not quite. Power dissipated (in this case the "heat") is V^2/R. Higher resistance means less power. Stove elements work by putting mains voltage across a fairly low resistance, causing plenty of current, power, and heat. In actuality, 110 Vrms is not enough to produce much in the way of a burn.
Now, you are correct about the bloodstream being a good conductor. It is quite rare that a live wire will directly contact the bloodstream, though -- but it does not need to. The resistance of human skin is non-linear, and is actually lower at higher voltages. Additionally, there is plenty of capacitance involved in the body's circuit*, meaning that the full impedance at 60 Hz is lower than just the DC resistance. If there is a route through the heart, and the "let-go threshold" has been exceeded, then even 110 V can be deadly -- no burns necessary.
*The human body model capacitance is only 150 pF, but this represents the body's capacitance to the outside world. The actual capacitance through a narrow layer of skin is many orders of magnitude higher, though I can't get a good source for the actual value.