Look through the instrument's menus to see if the test points are accessible from there, I've worked on some other R&S gear which will give you a readout from various places, but it doesn't list an optimal value. You can often get some information on what's working by looking at what output there is (what harmonics, power level, etc) with a spectrum analyzer, and can pick up something by tracing over the signal with an EMI probe or similar.
While you may get some information from a thermal camera, my guess is the fault won't be so obvious with that alone, and unless you make an extender or have a couple slots next to it free, it will not be easy to monitor with a thermal camera anyways. I'd start by looking for rails on the chips with datasheets you can find, since it will give you their power requirements and pinouts. Also helps to monitor the biasing network for amplifiers in the signal path - or even measuring current through it with a multimeter/scope on each side of a resistor in it, for example, you can probably get an idea of what's good or bad by comparing like parts on the board.
Also helps to know where the main signal path is, so looking at a block diagram and plotting it out visually on the board can be helpful in showing you where to be probing next. For these R&S board in particular, they tend to keep the RF stuff on one side, so if there are parts on the back, they're generally power/control/monitoring (like ALC) parts that go to parts directly on the opposite side of the board. The little silver parts (like on the very bottom of the card) are power supply line filters, so they can be good test points for rail voltages. Also the MMCX (I thought they were different connectors, but maybe they are that) test points need to be "engaged" by moving a passive into place - usually a capacitor or something - and they are good for testing purposes, but using them is sort of in-depth - usually you have to disable the normal path to measure the point.
For me, a thermal camera probably wouldn't be a tool to look towards at this point, though I'd probably consider it anyways just in case if the view of the board was alright when installed in the chassis. Don't know what an "acceptable cost" would be in your case, but you don't need particularly high resolution, sensitivity, or special features to find faults on a board - just have to scan around for irregularities and have a reasonably close minimum focal length.