I wouldn't think they'd be much of a problem (blackberry / buttercup) when establishing a food forest as long as you can get in there with a ditch scythe twice a year and use them for chop and drop mulching (the woody materials will be especially good fungus food for a forest soil). This will eventually tire out their
energy stores anyway, weakening them dramatically and bringing them under much better control while providing benefit to the soil and keeping other more insidious "weeds" from taking hold. Black berry being productive, as it were, you might want to even keep a patch or two along the edges of the food forest after it's established
If your berries aren't as good as cultivated varieties, just replace some with the variety of choice - if they're growing there wild, the cultivated varieties will likely do well too.
The big problem is likely going to be the wetness - facing the same issue here on the other coast. Do you have heavy clay soil or is there another reason for the poor drainage? That soggy soil might slow the growth or even drown some of the
trees you're putting into the forest, allowing what shouldn't be an issue maybe appear to be one (soggy-soil loving blackberry canes seeming to overpower/out compete a drainage loving
apple or cherry, for example). If the trees are raised up into hugelbeds/mounds, they'll likely do far better over the short and medium term, allowing them to establish and keeping them more vigorous so you wont have to worry about competition problems so much.
It's generally better to plant a forest into an area already naturally on its way to being a forest than to try to plant one in a hayfield so you
should have a leg up on getting things going already. Add to that an abundance of available water (how did Paul put it? naturally sub-irrigated land) and you're well ahead of the game.