Both should be accepted. And, in fact, the NEID (note the EID shows something else) shows only examples of déan alaisís ar.

I also feel it would be the preferred form among natives. A quick corpus search of Potafocal shows no hits for anailísiú, the verbal noun of anailísigh, which I would expect to be common. It also doesn't show any forms of anailísigh I searched (past, present, and future had no results) It does show rinne siad anailís though.