Hmmm… no specifics, but definately staying on major interstates would make it the most efficient.
Some states have minimal interstate milage; e.g., I-95 is the only 2-digit interstate (2DI) to go to Maine. After touching base there, you’d have to go west along some US-Route highway to get to Vermont.
When you get out west, the large states will take a lot of time for very few visits. You’d need to figure a way to cut corners literally to avoid hundreds of miles in just one state. (FYI, you can get thru the northwest corner of Arizona on I-15 and only drive about 15-20 miles.
From Ohio, I’d go east on I-70, which’ll get you WV, PA, MD. Take the Baltimore Beltway to I-95 North. This’ll get you DE, NJ, NY, CT, RI, MA, NH, and ME. Then you’d need to cut west to get VT. Then south again to I-95.
When you get to the Washington, DC, Beltway, take the B/W Parkway (MD 295) south to get DC, then follow the signs to I-295 through DC. You’ll rejoin I-95 near the Potomac River, where you’ll immediately go into VA.
Stay on I-95 S to get NC, SC, GA, and FL. Then I’d take I-10 W to get all the far southern states.
From there, my experience fades. But I’ve gotten you through about 1/2 the states.