You sissy! Didn't want to do Randori, so went off to Aikikai, eh? Just kidding...
In all earnestness, without Randori, you cannot really learn to deal with non-compliant opponents in a realistic fashion.
On the other hand, I understand the issue about over-competitive atmosphere. I love practicing Shooto myself (gotta love all those "sneaky" leglocks), but sometimes the atmosphere created by too much testosterone is less than ideal for calm training.
As for Tomoe-Nage, I think that it is effective in some situations. Like many other things, it is a desperation move when one is caught in a surprise tackle. I really like the variation often used by BJJ practitioners. It works well when a guy pushes or leans forward in a clinch.
For to win one hundred victories in one hundred battles is not the acme of skill. To subdue the enemy without fighting is the supreme excellence. Sun Tzu