I think if I were you, I'd go with alpine strawberries or just use organic mulch. Alpine strawberries do not have large berries (very small, but very tasty), and they do not have runners. Regular garden strawberries can be a pain to deal with because of the runners. Alpines are low maintenance, and are my favorite living ground cover. They can also tolerate some shade from your blueberries. What I don't know about is if they will do well with the acid soil that blueberries require. Also not sure how they do with humidity (I have plenty of heat here, but zero humidity) - you might be best just using an organic mulch around your blueberries to help feed them. That is what I do with mine, and they are happy.

I will check into the Alpine. Seems I read however that they were tasteless and watery. Perhaps that may have been from too much rain or watering???

Google search with "Seascape Strawberries".
Check if Seascape (Zone 5 to 9) can grow in your area. They are low on runners and are day neutral and the fruiting season is supposed to be stretched over the long summer period.

Blueberries don't like competition, there roots are shallow and fine, Alpines around the border may be O.K. and yes they are very tasty but on the small side fruit wise...I know Strawberries like a PH of around 6 - 6.5 so unsure how well they would do with Blueberries 4.5 - 5.5 PH.
Ken