Bleach is effective against adenovirus, so mix a 10% concentration using fresh bleach. The mixed solution will be good for about a week, then you'll need to replace it. Let it sit for 20-30 minutes, then rinse thoroughly. Its also a good idea to clean any debris using warm soapy water beforehand, as bleach is deactivated in the presence of organic debris.
Adenovirus also has a lifespan on solid non-porous surfaces of about 10 days. So after disinfection, let the enclosure sit for a week or so. Setting it outside in the sun will also aid in the disinfection process, as adenovirus is readily killed by heat and ultra violet radiation.
If you have any cage furniture you need to clean, then a bleach soak (10% solution) would also work. If its a wood item, you can also bake it in the oven at 285 for 1hr...that should be sufficient to kill adenovirus. Make sure to clean with warm soapy water before hand to remove any debris.
Other disinfectants are also effective against adeno, however bleach is readily available and almost everyone has it in there house. Note however, that bleach has a shelf life once opened...so get a fresh container if necessary. As mentioned above, you'll need to rinse thoroughly after bleaching...no fumes should remain.
I'm sorry for your loss. I wish you and your beardy the best.