Green Manuring

Does anyone have any good suggestions about the use of green manure use.

I took over an allotment last year, and although I have had some good crops from it, I am recovering from back surgery so unable to do any heavy work at present, so unable to do any heavy digging or move around barrow loads of manure until 2022.

I though once crops were out I would just lightly work the top and sow green manure(s) to overwinter.

Any thought on the best types? I have seen clubroot this year, so will avoid any brassica ones. Soil is good heavish loam with pH around 7.0.

Do folk every spray off green manure with Glyphosate prior to digging in?  might aid or accelerate decomposition and aid digging?

I use Phacelia, here, when/if we get a hard frost the top dies back and I just leave the roots to rot in situ and fork over lightly in spring as I can't manage much digging (bad back!)
If the tops don't get frosted enough to kill, I just strim the tops off and leave it to wither on the soil. Literally chop and drop composting. You can do this with mustard or spinach as well, if you have any seeds left in your seed box.