If I'm home, no need to search. However, the cops won't know if your refusal to allow a search is being made legitimately or under duress. My guess is they'd have a legal right to conduct a cursory search for the suspect and cite exigent circumstances. They may even have a legal right to arrest you if you refused. Not saying it's right, but there is precedent for that under these type of unusual circumstances.

If I wasn't home, yeah, they could take a look once I arrived on scene.