I drive this several times a year. There is nothing on US-24 between I-57 and I-69 that cannot be negotiated by maximum height (13'6" in Indiana) traffic.
Beware, however, around Logansport. The US-24 bypass formerly connected with business 24 west of the city, sweeping around to the south. Everything got reconfigured when they rerouted SR-25, the signage is not clear, and it is easy to get on the old 24 bypass (particularly if you have been doing it for 20 years) only to find that it now dead-ends. You want to stay on the Logansport Bypass south to the Heartland Highway, then east.
Don't even think about taking Business 24 through Logansport. That's one that will get large rigs into trouble, not height clearances but lane widths, traffic and room to turn. I like to take SR-25 north out of Logansport (it is a diagonal shortcut) usually making a lunch stop on the west side of town, but only in a car, my RV does the bypass. SR-25 goes right through the center of town, zig zags with tight turns, and the "thru" lane gets held up by left turns. Then there is that sharp right immediately at the end of the bridge crossing the Eel River.
US-31 is good four-lane (except where they might be working on it) all the way from US-24 to just south of US-20. South Bend is another "go around." I go around on 20 to the east because I'm always going to someplace east of Kalamazoo when taking this route. US-31 bypass loops around to the west of South Bend, if you are headed up 31 into Michigan.
P.S. Monticello has very low speed limits, and enforces them. I've also noted Wolcott as one of the places where someone sits watching for people who speed up too early leaving town, or slow down too late coming in.