I wish we could back this whole process back up to the beginning and pick a different concept, pokemon or type, but it's too late for that now.
In any Case here are my opinions on all the types.
Normal Why would you want this?
Rock Offers a nice rock resist and dooms zapdos but fighting types rule this.
Dark Rotom is in trouble and psychic is not an issue, but again fighting types dominate.
Flying Why?
Water Double Electric weakness would doom the duo.
Grass Bulky Waters are in trouble, but a double ice weakness coupled with rotom-h and zapdos dominating isn't worth it.
Ice An ice resist and a nice way to ko zapdos, but you are now weak to a bunch of types including fighting.
Electric Lures ground type moves, and resists electric. Zapdos is in a little more trouble.
Psychic No more psychic weakness, and a better way to hit rotom and zapdos, but now rotom has you at its mercy.
Steel Ice resist, ground lure, and rock is useless, but again fighting weakness.
Ghost Rotom MAY be in trouble if you outspeed or ko with shadow sneak or something but otherwise rotom bait. Possible problems with zapdos, but no fighting problems at all.
Ground Rock resistance and electric immunity, but problems with ice beam. Rotom and zapdos are laughing.
Fire Ground Lure and ice resistance, but you lose rock resistance.
Poison Ground lure, 4x psychic weakness.
Dragon Ice and dragon weakness and some useless resists
In any Case here are my opinions on all the types.
Normal Why would you want this?
Rock Offers a nice rock resist and dooms zapdos but fighting types rule this.
Dark Rotom is in trouble and psychic is not an issue, but again fighting types dominate.
Flying Why?
Water Double Electric weakness would doom the duo.
Grass Bulky Waters are in trouble, but a double ice weakness coupled with rotom-h and zapdos dominating isn't worth it.
Ice An ice resist and a nice way to ko zapdos, but you are now weak to a bunch of types including fighting.
Electric Lures ground type moves, and resists electric. Zapdos is in a little more trouble.
Psychic No more psychic weakness, and a better way to hit rotom and zapdos, but now rotom has you at its mercy.
Steel Ice resist, ground lure, and rock is useless, but again fighting weakness.
Ghost Rotom MAY be in trouble if you outspeed or ko with shadow sneak or something but otherwise rotom bait. Possible problems with zapdos, but no fighting problems at all.
Ground Rock resistance and electric immunity, but problems with ice beam. Rotom and zapdos are laughing.
Fire Ground Lure and ice resistance, but you lose rock resistance.
Poison Ground lure, 4x psychic weakness.
Dragon Ice and dragon weakness and some useless resists