A large part of the plot of Goblet of Fire hinges on the fact that Voldemort insisted on specifically using Harry for his rebirthing ritual. As he says in the graveyard:
But I knew the one I must use, if I was to rise again, more powerful than I had been when I had fallen. I wanted Harry Potter's blood.
This desire to use Harry caused Voldemort to need to wait an entire additional year to get his body back — a year in which he was entirely dependent on others.
As far as I know there is no limit to how many times you can be "killed" and restored. So theoretically, Voldemort could have restored his body immediately using the blood of any enemy, as Wormtail had suggested. If he still wanted Harry's blood he could continue with the plan for the rest of the year while enjoying the full powers of Voldemort-with-a-body. Then when he kidnaps Harry he could "kill" himself and do another rebirthing process with Harry's blood.
Now I know that Voldemort describes the dying process as very painful:
Aaah... pain beyond pain, my friends; nothing could have prepared me for it.
But he's not really the type to let a bit of pain stop him from having an additional year of being the baddest wizard in town.
I'm also aware of Dumbledore's statement:
He had rendered his soul so unstable that it broke apart when he committed those acts of unspeakable evil, the murder of your parents, the attempted killing of a child.
But Voldemort did not know this, and frankly, he might not even care if bits of his soul get blasted into other people — if anything, he might like it because now other people have to be killed before he can be killed.
So, is there any other negative effect of getting "killed" (i.e. besides for pain and destabilizing your soul) that Voldemort would have been aware of?
Note: I'm not asking why he didn't do this; I'm only asking if he was aware of a negative effect (which of course might have convinced him not to do it).