2, Exile a nonland card from your hand: Put four time counters on the exiled card. If it doesn’t have suspend, it gains suspend.
Thats the card text of Jhoira. You dont suspend any card and therefore you can exile any nonland card as you mention. Creatures, Enchantments, Artifacts, everything at instant speed.
Even the moment of casting them doesnt have any timing restrictions, because you are restricted casting them on resolution of the last time counter beeing removed. here from the gatherer site: As the second triggered ability resolves, you must cast the card if able. Timing restrictions based on the card’s type are ignored. (2013-06-07)