You're not limited to just steel and aluminium. Acrylic is also a viable option for a plate and most likely also the cheapest, you just have to get it cut at a higher thickness than you would with a steel or aluminium plate (I forgot what thickness, I want to say 5mm but I'm not too sure) and all you have to do is to hot glue the switches onto the acrylic plate.
You would have to glue them because above 1.7 mm the switches won't be able to snap onto the plate - they will only be force-fitted in.
An alternative would be to make two or more plates of 1.5 mm thickness and glue them together in a sandwich with the holes slightly different at the top layer from the lower layers.
However, if you use Cherry MX Clear and want to allow the keycaps to be changed then you might want to use glue in either case because the MX Clear's stems are a bit tighter than others - it is very hard to pry off certain keycaps from them. (PBT DSA for instance)
If all you're wanting is a 12x5 matrix, maybe you can find a broken Tipro for cheap and cut the plate down to the size you want.
Well, I still want the 2x space bar is the problem.
I was to about to suggest a POS (point-of-sale) keyboard too. There are more POS manufacturers than Tipro. Access-IS for instance.
POS keyboards often come with 2×1 keys that span
two switches, and those are almost as stable as a regular key. You could remove the spring from one of the switches, but it is otherwise common to have more resistance in the space bar.
Cherry's own keyboards use special switches in the space bars that are the same as the other switches except with a stronger spring. these are the MX Green, Grey and Dark grey variants.
As a matter of fact... You might not even need to build a custom keyboard. POS keyboards in sizes close to what you are looking for already exist, and they often have NKRO and are very programmable.
I have a broken Access-IS AKE072965/1 that is 12×6 layout that I had planned to salvage switches from, but just the cost of posting it (from Europe) could exceed what you might be able to get a working one for on eBay in the US.