This is the SUT you should look for - as you can see it offers a high 35dB of additional gain which would give you what you need.
https://www.ortofon.com/media/15289/mc-2000-t-2000-transformer-p2.jpeg
Unfortunately these are rather pricey but a SUT builder such as Bobs or MFA can build you a suitable SUT
https://www.hifishark.com/search?q=Ortofon+t+2000
As @jmcgrogan2 notes any SUT must be used into a 47k ohm MM input
https://www.ortofon.com/media/15289/mc-2000-t-2000-transformer-p2.jpeg
Unfortunately these are rather pricey but a SUT builder such as Bobs or MFA can build you a suitable SUT
https://www.hifishark.com/search?q=Ortofon+t+2000
As @jmcgrogan2 notes any SUT must be used into a 47k ohm MM input