Jetlag, the obvious suggestion would be to 3d print your mech instead of machining out of Al. It 'should' be strong enough filled with epoxy, certainly if used with a flanged fin, but certainly cheap to at least test your concept.
Paducah, there is no ratio for the expanding foam I used. You just mix it 50/50 then used a syringe to inject it. There is about 1 minute working time which can be increased to 2 mins or so by chilling the goo and parts first. You are right the amount of expansion you get is inversely proportional to the infil %. With 2% infil probably getting close to the claimed 35Kg P/U density. Your question motivated me to recheck some calcs.
Attached is pic of the samples I tested and weighed at the time (hand written #'s). You will notice the 4% infil weighs less than the 3% (I just remeasured using two different scales, the more accurate resolution scale shows them at 25.9g and 24.9g respectively). This is because I tried to fill as many samples using one mix and due to the short working time didn't measure and inject the same amount of goo into each sample. I also held my thumb over the inject holes till the foam reached all areas (the advantage of using transparent filament). You will see the higher infill percent I had to drill additional inject holes to fill as the foam couldn't expand far enough.
One concept I haven't tried is putting a vacuum on to help the foam expand faster/further/less density. Possibly could reduce foam density further??
The yellow text is the amount of PETG the slicer calculates is used. The first # is the Bambu calculation and the second (in brackets) is Prusa Slicer. Here you can see a clear bug in the Bambu slicer (the one I used to print). The Bambu calcs show almost exactly the same amount of PETG for 3,4,5% infil which is clearly wrong. In hindsight I should have weighed the samples before filling them. It also doesn't really highlight what density the foam actually achieved is. Certainly the 3% is the only sample that clearly shows more dense foam. But for sure the 15% has the highest density but the numbers don't show that.However, 4% infill sample shows that a strong result can be achieved that is lightweight. In the video at time stamp 1:30 the 4% slightly imploded on the lever test (10Kg load) but the 5% survived.
The main objective was to see if one could make a board using this technique and appears the infill required to get a strong result is around 4-5%. Assuming you can get the foam to expand enough to get close to 35Kg density, means a 100 litre board would use 3.5Kg foam (cost $105 for 4 litres). A board printed at 4% infill and 1mm wall thickness should use 7.88Kg of PETG filament (cost $181 AUD using Bambu refill PETG). Actual consumption would be higher as would need alignment/strengthening carbon rod stringers to join sections and solid epoxy filled areas around fin/straps and mast. If allow +1.1kg +$50 for this, a board should weigh about 12.5Kg and cost $336 cheaper than what I paid $350 2nd hand for it).
I realise this too heavy as my 2nd hand iSonic 97 weighs 6.9Kg and new boards are sub 6Kg. Where it starts to get interesting is using foaming filaments (i.e. foaming ASA) which have print densities 0.46 ~ 0.97 g/cm? with almost same mechanical properties. If use a mid range density of 0.75 the filament requirement is now 5.5Kg for 100litre board weight of 9Kg (or theoretical achievable minimum 6.8kg). The downside is cost of material is about three times higher and non translucent....or so I thought....
Turns out there is a simple hack to make your own DIY foaming PETG filament. Anyone with a 3D printer will know that filament absorbs moisture and after a while won't print very well. This is because the moisture turns to steam when printing. So the recommendation is to always dry your filament before using. One bright spark who goes by RCHacker decided to do the opposite and soak his PETG filament in a bucket of water overnight then print. He achieved nice foaming PETG with expansion ratio of 1.54 (which means with some tweaking of flow rates in theory could reduce a PETG print mass by 1.54). Can't find anyone else remotely playing around with this idea so a spool of transparent PETG has just been submerged.