I found out this morning that my heater core is damaged and leaking coolant. I don't really have time to repair it at the moment, so I'm wanting to just bypass it for now, by taking the #7 hose in this pic, and connecting it where #11 normally connects underneath the throttle body. Any problems with doing this?

 

That will work fine

 

Yes you can do that in fact thats is how mine is routed right now sadly.

 

So is it okay to still run my A/C with no coolant going through the heater core?

 

Without coolant in the heater core you won't really be able to adjust how cold your AC gets since the temp adjustment ****/slider just varies the coolant flow to do that. Other than that, I don't see any problems with running your AC w/o coolant in the heater core.

 

gotcha... I plan on keeping the slider pegged on Cold (and the coolant valve closed) for the full extent that my heater is bypassed.