Yeah, I looked into that, and I'd definitely do it if I had cell phone signal at my house.  Since I don't, I'd have to choose between either checking email at home and authenticating via my landline, or checking email elsewhere and authenticating via my cell phone - wouldn't be able to do both. 
  
Having spent a good part of today making sure I don't have a keylogger installed on my computer, I'm going to go with beefy's suggestion and LastPass everything. 
  
As far as lessons learned go, this was an inconvenient one, but so far not disastrous, thankfully.