The Mohu Sky is not omni-directional (their marketing is flat out wrong in that regard), it's bi-directional and low gain. They then trow an indoor amp on the wrong end of the cable.
I would suspect either the RCA or the CM to perform well enough as would our C2V.
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Is there a rule of thumb for how much cable length or how many splits would require an amplifier?
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Not really a rule of thumb, you have to do some math.
Pick the weakest desired signal on your chart. Get the noise margin figure.
Subtract some value if in an impaired location like an attic (-12 dB average) or a forest (-20 to -30 dB). Add the antenna gain for that channel. Subtract coax loss based on 6 dB/100' worst case. Subtract 4 dB for each time the signal is split in two. A 4-way splitter is -8 dB, an 8-way splitter is -12 dB. These are worst-case signal budget numbers.
If the result of all that is still above +10 to +15 dB dB, then you probably do not need an amp.