You could probably find a bank that would do a "bridge loan" of some sorts.

If someone that I knew and trusted approached me from time to time for a bridge loan, I would sometimes accommodate.  

No one knows whats going to happen, id take it now and then cross the other bridges when we get there 

It is not impossible but it's much harder to get students across the bridge in my experience. 

We just closed on 22 units mid march and went back and forth on whether to organize the reno work schedule ourselves (schedule the demo guys, painter, buy floor, schedule floor installer, install vanities/fixtures, etc..) or just hire a GC that would oversee the whole shabang.We ended up hiring the GC and the work has been good overall, but we're not as happy with the timeline.. we have a 18 month term bridge loan in place currently and planned on having these initial units done in half the time it has taken the GC.

A bridge cash-out refinance can be a suitable choice here.

HML/Bridge loan is the way to go. 

Can you offer month to month to bridge your vacancy timeframe?

Basically, all you're saying (which, for some strange reason a couple of folks don't seem to understand) is that you're using the credit cards as a very short term bridge between the time your sell orders go in, your trades settle, and the money gets transferred to your bank account to pay off the CC.  

It also may be possible to set up an interested only bridge loan.