Yes, you can do this. In the Save Options form, ask it to save selected, and then pick which outputs to be saved - i.e. what you've been doing already.
Then on the options form for the dc analysis, set the "save" parameter to "allpub" (or "all"). The specific option for the analysis will win over the global default.
This is equivalent to adding save=allpub on the dc analysis line itself in the netlist.