An ayegreen is another name for the houseleek, a succulent plant of the genus Sempervivum.
There are 788 in Webster's Second International. Here's a small sample: grep -xE '([^e]*e){3}[^e]*' /usr/share/dict/words |grep ^........$ abeltree Aberdeen abietene absentee Acemetae acheweed aesthete aethered affeerer aftereye agueweed aiseweed Alberene antecede appellee arrestee assessee axletree ayegreen Baedeker bargeese beanweed beaupere beavered bebelted bebreech bedeafen beebread beefhead beefless beehouse beetrave beferned befetter befezzed begetter begrease beheader behearse