What I think you want to do is the following:
Open the AXF and then the feature layer whose editform you want to collect RF measurements in.
Add a "System Object" by clicking the icon that looks like a couple of gears. You might have to focus the feature layer's window within ArcPad Studio for it to become active. 
It'll bring up a menu with various system events in it, so the one we want is Rangefinder -> OnMeasurement.
Each time it receives a measurement sentence from the Rangefinder while the editform (perhaps other forms as well?) is active, the script you put into the onmeasurement box will be run. 
If you need to enter values into different editboxes at different times, you could create some global variables, and set them to the names of those editboxes when they fire thier onsetfocus events, and then clear the variables on the onkillfocus events. Your onmeasurement could look something like this:
If Not LRFPage = "" and Not LRFControl = "" Then
currForm.Pages(LRFPage).Controls(LRFControl).value = Round((Rangefinder.Distance * 3.2808399),2)
End If
(In this case, currForm is a global variable referring to the editform that is open. LRFPage and LRFControl are assigned and unassigned (set to "") based on what editbox is currently focused using thier onsetfocus / onkillfocus events as mentioned above. So if no controls are focused, onmeasurement does nothing. )
Let me know if you have any questions, but I'm sort of new to using rangefinders as well, so if anyone has a more elegant solution I'd love to hear about it.