I like the idea of adding gallon batches of resin to the aggregate. The aggregate acts as a thermal sink to reduce exotherm, which is limited by the specific heat capacity of the filler. If I was going to try this and had to use commercially available resins, I would look at RTM (resin transfer molding) resins-- these also go by names like VARTM and vacuum infusion resin, but the resin is essentially the same. RTM resins have low viscosity like the US Composites material (600cps = 0.6Pa.s), but often have very long gel times. Adtech, PTM&W, and Resin Services would be the first places I looked. It would be really fun to formulate a resin for this application-- we could get pretty tricky and increase the working life to 12 hours, add air release agents to help it degas on its own, and pigment it for aesthetics. If anyone has a commercial interest in this, let me know-- I work for an emerging technologies group that can do contract research.
Development of a filler system to achieve maximum filler loading is nontrivial. You can get nerdy and try to calculate it, but you generally have to make the assumption that all of the filler consists of spheres that are consistent in size. A direct approach would be to fill a container of known volume with your largest size filler. Then you add water to fill the void spaces. So you might take a 1 liter container and find that the water required to fill the void spaces is 400mL, hence your system is 60 volume% filled. Next, assume your second largest filler could take up a maximum of 400mL, but if packing efficiency is 60vol% again, then you would end up placing 240mL of small filler in the voids left by the large filler. The problem is that the second filler will likely have a different packing efficiency than the first-- so perhaps you perform 3 experiments at different ratios, maybe 65,60, and 55vol%. Do the water displacement on these to determine the best amount of the second filler to use. Assuming 60vol% turns out to be the ideal ratio again, the void space you would measure would be 160mL, so your system is 84 volume% filled. Note that if the small filler is only 1/2 the size of the big filler, it will not fit into the voids between the big filler, and the packing efficiency will be poor. Ideally, the second filler should be 1/10 to 1/20 the size of the first. You could repeat the testing procedure to add a third filler, though at some point I am sure you would have trouble getting air bubbles out of the filler/water test container. A little soap might help with that. Anyway, moving down to smaller and smaller fillers is a game of diminishing marginal returns, and smaller fillers have a larger effect on the viscosity of the final system due to their high surface area. If anyone decides to go down this rabbit hole, remember that to get from the weight of the filler to its volume, you need to divide by the filler's density. So 84vol% filled will not be 84 weight% filled, unless your filler has the same density as the water (or resin). Sorry about the nerd out!
Best of luck with this project, and please keep us updated.
Nic