Short answer and @lkg4answers point is important - you need to have time.
For example, we did Gtown and GW in a day - actually walked between them - we had time. It was a 10-12 and 2-4.
Others, if you have to drive, you need to account for maybe hanging after asking questions, lunch, driving.
Two in a day is definitely possible - you can even walk the campus before the morning tour - just to get a vibe - or have breakfast at a local bagel shop.
On the flip side, info sessions are - the same - everywhere - and over 4 days, you’ll be bored/tired - after a couple. So you do have the risk of just taking on too much.
You might see which schools look at demonstrated interest and make sure you do their activities - info session, tour, etc. Hopefully the AO doing the presentation is the one assigned to you. If not, let them know you’ll be there and ask if you can pop in and say hello.
But if the school doesn’t track interest, an option is to tour on your own, make an appointment with an advisor or professor in a major that interests you (to get a feel for it) or a group (we met Hillel at two campuses), stop kids on campus and talk and get real life examples - the tour guides will be honest but are also on a canned script, etc. My daughter got a lot more from self visits. We also found the Hillel on each campus - just to see how far it was and if it was safe to walk to. We all have different priorities so find yours.
One last thing - some schools offer info sessions and tours separate - not a lot but some - where you can just do the tour. You’ll find info from the info sessions on line - in fact, you probably know most of what they’ll tell you up front or they offer them virtually.
But your plan - if schedules and distance align - can work. But it can also cause burnout.
Walking helps a lot with burnout…as does food.
So plan time for both.
Edit after reading your response: In August 2020, prime covid time - so we did this trip - 11 schools in 4 days. We started at home in Nashville - saw UTK day one. High Point (would only let us drive through - so at each school make sure they’re even open), Wake Forest (same with drive only) and Elon on day 2. Elon was doing 1:1 tours so it was great. And finished at Duke on own.
Next day UNC and William & Mary.
Final day - and all self done - Richmond (drive only, they wouldn’t let us get out of the car), UVA, JMU and Washington & Lee - where we bumped into a prof and his family and had a great 30 minute talk.
The publics will likely not track demonstrated interest but you can check - either on their websites or the common data set Section C7 - so they give you flexibility.
The driving only schools my daughter hated - maybe because we couldn’t walk but I think it’s their campus and locations - she’s at a city school.
But she definitely enjoyed the trip - self touring - more than the trips loaded with info sessions and canned tours.