I like the way you distill the options and possible outcomes down. Very efficient.

My gut tells me that as long as you've dosed with algaecide and shocked (in that order with a couple hours between; my understanding from reading here is that chlorine can diminish the algaecide, but I have no evidence for it) and absolutely can't run the pump at least an hour a day, you ought to be ok. I'd do the chemicals and let it circulate AT LEAST a couple hours, cover it and shut the pump off. No floaters though. Since there'll be no circulation I wouldn't want the build up of chemical concentrations in hot spots.

C.