A few thoughts, in no particular order:
I don't remember glyoxal being all that expensive, but you don't need to use much (I use 3 ml in 200 ml water/gelatin) so a bottle goes a long, long ways. But that's just an aside, not an answer to your question.
It seems like your question has two parts: (1) is it okay to use unhardened gelatin as a size? The answer is yes, it's perfectly fine, and I sized with unhardened gelatin at one point in my early gum printing career. The only concern with unhardened gelatin would be that in areas of pure white, like the snow in your picture, the gelatin won't get hardened and might possibly serve to tempt bugs in the future. But rinsing the finished gum print with hot water will wash off the unhardened gelatin, if you're concerned about that, and won't affect the hardened gum. In any exposed areas, the underlying gelatin size will get hardened by the dichromate along with the gum, so there's no worry there.For visual demonstrations of these principles, see my page on issues in using unhardened gum for a size:
http://www.pacifier.com/~kthayer/html/Gelhard.html
(2) The second question seems to be, is it okay to combine the acrylic with the gelatin? I think the only concern here, where you're layering the gelatin on top of the acrylic, might be adhesion of the gelatin over time, but I doubt anyone's looked at that, since this is an unusual treatment. I'd guess that if it will adhere when coating, then chances are it's there for good, but I'm not a conservator.
As I say in my page on sizing, my favorite size is a mixture of gelatin and gesso, but I haven't used it much for exhibition prints because I don't know anything about the archival properties of such a mixture. But at the same time, I don't know of any reason to suspect that it wouldn't be permanent, so it's perhaps overcautiousness. If you're interested in how I do that, instructions can be found on that page:
http://www.pacifier.com/~kthayer/html/size.html
Katharine