Hi David.
There is a member on this forum who has serviced rc sets but he hasn’t been replying to pm’s.
I’ve repaired many a faulty set and what I can tell you is a high frequency scope will show if a 27 am transmitter is working.It will pick up most faults without direct connection.
By "dead",if you mean a battery meter shows zero then that is the easiest fault to pick up.A bent or corroded battery contact could be to blame.A dial indicator on a 27AM transmitter is usually a battery meter rather than an RF power meter.
Tell us what make and model your transmitter is.Do you have a voltmeter? If it is a 2channel replacement you need then they are inexpensive from Howes – one of the Modelboats advertisers.Older models can be expanded to 4chan.
The difference between some 35 and 40fm single conversion receivers is only the label.
Tom