OK, sorry to be so dense, but I need to get specific here...
To begin with, I currently have both the water pump and the thermostat off the car.  This is what it looks like:
 
I've labeled the openings into the chamber where the thermostat lives.
	A: The big opening over which the thermostat housing is bolted, with its gasket.  One of the big hoses (either going to or returning from the radiators) attaches to it.
	B: Follow the arrow; this opening goes up to the center opening of the water pump (where the impeller blades reside).
	C: This is the opening over which the bottom part of the water pump unit attaches; it's got a small hose coming off it that I believe goes to the heater core and the bleeder valve.
	D: This is the opening seen at the back of Opening C.  It travels off to the right somewhere, I think communicating with the other big hose that makes up the circuit through the radiators.  Don't know if it goes anywhere else.
As far as I can figure, the thermostat opening and closing affects only one thing: movement through the big opening 
A.  Movement through 
B, 
C and 
D are not affected by the thermostat, right?
OK, to your suggestion specifically, ie to send water through the center hole of the water pump.  So you're talking about fitting a hose (
somehow--I have gotten some suggestions) onto Opening 
1 here?:
 
I'm assuming you mean do this with the thermostat on, otherwise water simply runs down through 
B all over my garage floor.  (As far as I can tell, Opening 
1 goes 
only that one direction...wish I had one of the flexible endoscope videos!)  So, if I put my t'stat on, do I do it with the t'stat itself in the housing?  Being cold, it would be closed and prevent water movement out through the big opening 
A. [[ 
And since the water pump won't be turning, I guess little/no water will be going up through B.  IGNORE that previous sentence---I wasn't thinking when I wrote it: the water pump isn't installed at all while we're flushing  

 ]]  So that leaves 
Cand 
D.  Is that where we want water to flow, in order to flush out the block and the heads?