Give BX Expanded a call. I’m sure they would know about the clearance and can probably sell you some spacers or something if it’s needed.
A set of front chains is probably under $100. Plus they are lighter and easier to install/uninstall- no fender etc. I’ve also seen guys groove their R4 tires. I’ve never done it but most like the results. I’ve moved a lot of snow with just front chains with good success. I guess my point is you may end up chasing this project a bit.