I use all my own manure for both p/tunnel and outside veg garden. Yes weeds are a bit of a problem, but what else can you do? I mulch, but that also creates problems with slugs (esp outside).
In p/tunnel I find that when watering only the actual plant and not the whole bed, weeds are kept under control and as I have enough foul weather days, weeding in the p/trunnel isn't usually a probelm.... (it's the most therapeutic garden job there is, with the radio on...)
I also cut a lot of the weeds for my goats - they love dandelions, chickweed (as do the chooks) and thistles, nettles etc etc. (but not ground elder). And I do have an ongoing war with couchgrass.... but who hasn't?