If property comes up and it is within reasonable distance or even better, is so close it can be added to the value and size of your entire land holding, then it is worth investigating.
Time and time again, I tell people never to invest major time and money in rented properties. Just do enough to get by and MAKE IT WORTH YOUR WHILE.
I have two examples of my own case. One 160 acre parcel that we started renting in 1998. About 80 acres clear, 80 acres timber. Rent was $350 for the summer. Single perimeter fence in reasonable shape. Since started renting, have pushed in posts on almost the entire perimeter to strengthen it and added a single electric line to one 1/2 mile section to separate bulls from two different herds. That's it. Have not spread fertilizer, re-dug dugouts, put in new fences or worked any of the land. TOO MUCH RISK. Rent nowadays is $450 and the land is supposed to be going up for sale this year. Haven't had to invest much into it, but I was able to run one group of 20-30 cow/calf pairs on that place since 1998 for the entire summer. I have first option to buy, so if it's a good buy, say 20k, I'll go for it. But if not, I'll focus more on my own deeded parcels.
The other place is a new 160 acres that I will be renting starting this year. Rent has yet to be determined, but about $500 has been suggested. Most of the land is in bush and not it use in any form. But there is about 50 acres of quality hayland that will produce at least 200 5x5 bales. Only stipulation is that fertilizer must be applied once every two years. So that works for me. I also have first option to buy this property if it ever becomes available.
I never let landowners get too greedy with the demands or rent value. I just walk away. I know that scares some people because a place that isn't being pastured or hayed becomes a tinder box for a fire to start.