I believe the alarm horn is a separate unit to the main horns ?. If so, and if you can find where it is, simply cut the wires to it. The flashers keeping going isn't such a pain. If you do find exactly where it is please post on here, as I get that now and then and will happily cut mine. I don't care if it makes it more stealable, or that the insurance might not like it. What self respecting toe rag is going to steal a 15 year old V'ger ?
Other than that perhaps there's an alarm fault code that could be read ?, or visit an auto electrician, or live with it. Even with the elevated 2nd hand value of cars at the moment, an old V'ger with issues isn't worth very much at all .