Can I use a plastic basin positioned near joists to compensate the lack of slope in a ceiling condense drain?
no you can't do that. if it connects to the sewer it needs need to either be sealed or have a trap.
Use a fatter pipe eg: (inch and a half) , support it properly and fit a proper trap on the end.  the flow rate is low enough that your run can self-vent
but you will need 1:100 slope
maybe find somewhere else to discharge the condensate. it's basically pure water, it doesn't need to go into the sanitary sewer.