Too much humidity from my swamp cooler

I think I got too much swamp cooler for my home (in Denver, CO). It's a nice, new pro unit and very efficient. Problem is that even on low power, to get the house down in the 72-73F range, the humidity it's putting into my home is an issue especially for all the guitars in my basement. It's corroding the strings and hardware on the electrics plus its wreaking havoc on the wood (which is the worse of the two issues. I'm coming up on winter so I'll be switching to hot water heat which doesn't introduce that kind of humidity, but for the next season of cooling, has anyone run a dehumidifier to combat the excess humidity a swamp cooler was introducing? If so, how did it work?
Thank you,
Matt
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