I'm not finding a rim with those exact specifications, but there are several very strong 26in rim brake rims available. The thickness and type of alloy makes these rims extremely durable. The Alex DM18 rim is one.
Rim Brake-no problem
Double-Eyelets....that is tough, not really used anymore even on touring specific rims. Honestly not convinced it's really needed anymore with modern rims as single eyelets and even no eyelets are proving to be very durable if constructed correctly. Also using butted spokes will take a lot of the stress off the rim so again a double eyelet may not really offer any advantages anymore.
Mavic XM719 rims are very solid in the sub 500g 26" rim category. Very strong and stiff, available in 36h
On the cheaper (and heavier) end of things, the Sun Ringle Rhyno Lite is well known for its durability.
The new Velocity Atlas rim is designed for Touring and Tandems so it is STOUT, at 25mm wide it would work well as a mountain rim too.
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