We planted one of the hybrid berries (gooseberryXblackcurrant perhaps) - the fruit certainly looked that way and it was a total thug. In the end we had to hack it out with mattocks. Don't get that one

(I thought it was tayberry but perhaps not)
For blueberries, they are quite expensive and really don't do well left to fend for themselves (I know, I tried it). Better to keep your blueberries in giant tubs of ericaceous compost and nurture them. You can buy the wild blaeberry which should be fine wild, but only if you have really acid soil.
Would there be room to stick in some crab apples? They are cheap if you buy them bareroot in bulk from somewhere like Buckinghams. They grow upwards and are not bothered by weeds, but make a good base for a hedgerow jelly or wine. Mirabels again are extremely tough and can be bought from the same place for not very much. They grow quickly enough upwards to get away from the weeds, and respond fine to brashing to keep the crown high.
For brambles, there are American primocane varieties which grow on upright canes, are thornless and don't spread into thickets. Their growth is pretty much like rasps.