I've done a lot of this kind of measurement and I doubt your method will work. You do not state where the measurment will be taken but you also have to take into account that you will have 5V across open probes and the resistance between the current source and voltage measurement points will almost certainly be much higher than the resistance you are trying to measure. If used on circuits containing low voltage capacitors or semiconductors it will likely cause damage to them.
A better method is to use a four wire measurement system. Pass a lower current at lower voltage (<0.5V) through one set of wires and measure through a different set of wires. The only place the source and sense wires should meet is at the point of measurement. This will eliminate almost all the residual circuit effects. For even greater accuracy you might need an additional 'guard' probe. This is a probe carrying a buffered copy of the voltage at the measurement probe, you connect it at the far side of low value components attached to the measurement probe so the voltage across them becomes zero and hence no current flows through them.
Brian.