You can do some checking without removing the Fridge. The valve to solenoid section can be pressure checked by removing the supply line. If you are leaking that's where it's likely to be anyway. The tube from the solenoid to the icemaker is not under pressure. There is no pump other than your shurflo main in the passthrough. You can also check for leaks by turning your pump on with everything closed and listen for cycling which is the easiest method.
As for removal, some folks built a ramp to slide the fridge down and were able to do it solo. I know of one Creeker that had an access door installed so he could service the fridge from the back side.
As for blowing the line out, I would disconnect the supply line at the valve which will gravity drain to the solenoid. Then cycle the icemaker with a jumper wire and blow air in the freezer end of the feed tube when the solenoid opens.
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