I found the diagram in the signage plans on the contracts page that you've shown me before. The contract number should be IR-33739, found in the Vincennes District in July 2012, but it shows that the interchange has two roundabouts that connect the new segment of SR 445 to I-69. And I do agree that it is a better change for that interchange than the trumpet that would have taken up more space for what would not be a well-traveled interchange.
Interestingly, there is no mention of SR 45 or 54 on the signage for Exit 104, which is SR 445. Both Exit 98 (SR 45) and 104 (SR 445) have no control cities, which is probably understandable given the rural nature of eastern Greene County, but I would have thought that maybe Bloomfield should be mentioned on southbound I-69 approaching SR 445, but that's just me. The signage plans also show that the next interchange (mentioned with a "Next Exit in XX miles sign) after Exit 104 is in ten miles, which means that the SR 37 interchange should be Exit 114. The letting for that segment of highway isn't until October so I would assume that those signs won't be avaliable to view until then.