Swirling winds are generally going to take place where there's ridges right next to them or you're talking about a ravine. On a flat field with large expanses of river bottoms- you should not have problems with swirling winds at all. So, the swirling winds depend on what types of situations you are in- again, where ridges are present right next to your spot.
I love river bottoms, I'd take river bottom ground over most other situations. One of the other side reasons I like river bottoms is the super fertile soil which I truly believe grow bigger deer where more top quality soil is present.
River bottoms are also easy to pin-point deer in my opinion. I like finding spots where the river funnels deer closer to a location and I can blow my wind over the river into a neutral area.
The trouble with river bottoms on SOME occasions is access... FLAT fields that are generally large fields, makes it difficult to enter/exit without busting deer. Hopefully you can find situations where fields are broke up OR you can slip in some timber that's closer to road (or back side so you don't walk through field) OR if it's a viable option- walking the river in can't be beat IF you're able. As long as it's not too high and filled with brush/damns, that has to be one of the best ways to access a stand period. Good luck, some monster bucks in those bottoms!