FYI, that LO-1238 appears to be NiZn, more or less comparable to Fair-Rite #43 and such (mu_i is a bit higher, but their tolerances do overlap). You can tell by the high resistivity and low Bsat. A physical test would be a streak test, should be brown; MnZn is black.
Upper frequencies for transformers, are fairly irrelevant; under power it'll matter (heat!), but for receive, not a big deal. You're going for core impedance only; most any ferrite is going to be dominant resistive (so, causing insertion losses moreso than adding reactance) at high frequencies. This is above a few MHz for these materials, up to 10 or 100MHz for #67, #61 (and similar types). Up at such frequencies, the latter ferrites, and also powdered iron (Micrometals #1 or 2) or air core (or TL fractional-wave impedance transformers, and other distributed or resonant methods) are preferred.
So, not really much need to be picky here. Concentrate on getting adequate radiation resistance (over losses, so that efficiency / noise floor is good) and good tuning (so SWR is low).
Such high ratios (9, 49..) mean either electrically short, or anti-resonant, antennas. You won't get wide bandwidth, in either case, so expect to need a new tuner setting for each band you work. For a wideband or multiband antenna, you need a different design. Ultrawideband designs incorporate large elements with regular (self-similar scaled) structure, so that the antenna looks pretty much the same with respect to any wavelength; this is obviously most practical at high frequencies (log periodic, various horns and cones), and less practical at low frequencies (most of SW).
Note that antiresonant antennas largely radiate through strays, such as imbalance in the feedline, elements, conductors in proximity, etc. The radiation pattern, feedline current (common mode) and impedance are very unpredictable here.
Tim