You could maybe try some of the magnetic or screw fix mounts that are used for laser levels. They typically have the same bottom screw connection that a tripod has.
Other than that, I think you are going to struggle to get something that fits in a SYSTAINER, achieves the height you are looking for, and that is available for a reasonable cost.
I use a Manfrotto MK393S-PD 393 Photo Short Tripod Kit, and that only fits in a SYSTAINER in the way you want if you remove the rubber boot from the centre column and take the whole column out.
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Full extended, it's still only 141cm high before you attach the SYSLITE.
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But the ball head camera attachment does work really well.
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