Hi!
Can I ask what you mean by "popped up with the wrong scale"? Are you importing the Mesh or creating it in Maya?
If you import the Mesh into Maya, you should generally just make sure that your files "working units" in Preferences>Settings are the same as the file you exported from.
Almost all the things you have displayed in your screenshot are diplayed in the channel box. Exept from dimensions which you can easily calculate from the bounding box information.
You can always check the bounding box information in Attribute Editor>Object Display> Bounding box to see how the whats the max/min height,width and depth.
I don't think there is anything in the HUD that displays dimensions of the objects in Maya. Since maya does only object specific bounding boxing and not selection based bounding boxing.
It would probably be possible to set up a script that always displays the dimensions of the selected objects, but that would be slow since it always would have to check all selected bounding box values for the extremes, then calculate the dimension from the given values and then check against the prefs to assign the unit of measurement whenever anything gets updated in the scene. Which honestly is a lot of calculation for very little benefit.
Since the dimensions of an object are normally needed once while assembling a scene and as soon as the relative scale is correct not needed again. I know for new Maya users that come from Blender it is normally unsettling to not have dimensions displayed, but once you get used to it, they are actually quite easy to keep track of...
As you already meantioned, there is the Universal Manipulator tool (CTRL+T) and you can set up Measure Tools that follow your object. Thats all there is unfortunately.
I hope this helps