Any state that would select Cruz over Clinton would also select Trump over Clinton (except maybe Utah), so I don't see what difference this could possibly make.
Maybe if you "nominated" Kasich in Ohio, Collins in Maine, Ayotte in New Hampshire, Sandoval in Nevada, etc., you could keep Hillary under 270.
The point of this is to throw some states from Trump to whoever so that no one gets to 270, and the House can pick the real conservative.
Putting Cruz on the ballot in a bunch of states that Trump would have won too doesn't make it anymore likely to send the election to the House. You'll have to target states that Hillary is going to win, but could theoretically lose against a hometown hero, like the 4 I mentioned.
