  We show how scaling arguments may be used to generate templates for the tidal
stresses around saddles for a vast class of MONDian theories {\it detached from
their obligations as dark matter alternatives}. Such theories are to be seen
simply as alternative theories of gravity with a preferred acceleration scale,
and could be tested in the solar system by extending the LISA Pathfinder (LPF)
mission. The constraints thus obtained may then be combined, if one wishes,
with requirements arising from astrophysical and cosmological applications, but
a clear separation of the issues is achieved. The central technical content of
this paper is the derivation of a scaling prescription allowing complex
numerical work to be bypassed in the generation of templates. We find that LPF
could constrain very tightly the acceleration $a_0$ and the free parameter
$\kappa$ present in these theories. As an application of our technique we also
produce predictions for the moon saddle (for which a similar scaling argument
is applicable) with the result that we recommend that it should be included in
orbit design.
