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Good fucking mighty Zeus no! Don't do it. Just get a set of Furious Freds or Thunder burts and set up tubeless. The Twin Rails were fucking horrific to use. They had nothing on even mild gravel and anything about 40psi made them rock hard and immovable.
Genuinely shite experience for over a year. Thunder Burts I'm running now are less than half the weight, run flawless at 30psi, have plenty traction even in the mud, and they've yet to puncture.
If you're desperate for tan-wall, go for the DMR supermoto. Just avoid the twin rails. Please.
Halo Twin Rail
https://www.wheelies.co.uk/p102534/Halo-Skinwall-Twin-Rail-26-Tyre.aspx
Edit: Slightly above your budget but you're shit outta luck on semi-slick above 2.1" in gumwall. I had the same problem!