There are lots of other solutions. Having seen some of the things I"ve seen, if I had it do all over again, I'd never go with training wheels.
there's this for little kids:
http://www.likeabikeusa.com/ which bypasses training wheels entirely and teaches balance skills,
and then I have read of many sucesses where the seat was put all the way down so that a kid can just put a foot down whenever they need to, and no training wheels were ever used. I know this doesn't solve your problems, but I'm just amazed when I see two and three year olds on two wheels.
Irulan
2015 Liv Intrigue 2
Pro Mongoose Titanium Singlespeed
2012 Trek Madone 4.6 Compact SRAM