If epiphenomenalism results in fewer unexplained posits without losing explanatory power, does this not give a reason as per Occam’s razor to prefer it?
No. (1) The denial of epiphenomenalism does not necessarily create two distinct problems. Assuming there is a "hard problem of explaining consciousness", that is, a problem of how consciousness "arises" out of physical processes, then - if there is a theory that explains that adequately, then that very same theory will (or should) also explain the reverse, namely, "how consciousness causally impacts the material world" (or whichever way you want to express that).
(2) In your formulation, "the hard problem of consciousness" appears to only be a problem when epiphenomenalism is denied. This leaves open the question whether or not there is any "hard problem" of consciousness in epiphenomenalism. It's not necessary to assume there is one. (Also, if there is one, it would be a completely different kind of problem then in non-epiphenomenalistic views.)
Anyway, if there is no problem, then, from an epiphenomenalist point of view, that could be seen as the Ultimate Occam's Razor (the problem evaporated -- poof, gone! -- which is preferable to still believing there is some problem), but this would have to be argued for separately. A problem doesn't just disappear by being declared to be no problem. (Which is also what you appear to be doing, even if for the rest your whole argument would be sound.)
On the other hand, if there is a problem in an epiphenomenalist point of view, then clearly it is not the problem what "causes" consciousness to happen. Strictly speaking, there is no "cause" for consciousness -- at least not according to an epiphenomenalist point of view.
Good questions would be "Why is it that sentience developed in certain animals?", "What criteria can be used to determine if certain animals are sentient or not?", "What kinds of sentience can we distinguish?" -- The mystery of consciousness is not really a feeling of mystery about consciousness or acute self-awareness, it's a feeling of mystery about sentience.
It's unfortunate that philosophers have made an awful, confused mess out of the notion of epiphenomenalism, starting with Broad, in Mind and its Place in Nature (1925), who wrote "x is epiphenomenal" means "x is an effect but itself has no effects in the physical world whatsoever". Dennett, in Consciousness Explained (1991) thrashes (and trashes) that notion (in the chapter "Qualia Disqualified"):
[T]he philosophical meaning is too strong, it yields a notion of no utility whatsoever.
He distinguishes it from the original, useful, non-philosophical sense, as used by Huxley, referring to events or behaviors that are (to be considered) as "mere byproducts", "side-effects" that play no functional role in the actual process that we're interested in (and thus should have no role in any explanation of that process). Example: Biting your lips when you're thinking very hard.
My criticism would be not that it has no utility, but rather that Broad's definition is incoherent. It's impossible for something to exist in the physical world and have no effects whatsoever. This is an incoherent use of the word "effect". Being observed or being in a gravity field means having effects. The only "thing" that could have no effects would be the world-ending singularity of the Big Crunch (if that were to happen and assuming this would not itself be a new Big Bang).
But Dennett's criticism in this context seems to overlook that epiphenomenalism can also be construed as stating that mental processes can be described either as purely physical processes (synapses, activation potentials) or as information-processing processes. I believe what makes this confusing is that consciousness (or sentience) is very real (as we all know), but that the unity of consciousness, the unity and "immediacy" of experience, its "luminosity" -- all that which convinced Descartes that the mind exists, is indivisible and therefore not physical -- is an illusion (or rather: it's something constructed and to be explained, similar to perceptual constancies being constructed).