May is very late to receive and plant bare root anything!! This planting method is typically reserved for during dormancy........my raspberries start bearing in early June so are well out of dormancy by May.

I wouldn't just toss them - they could recover for next season - but I'd certainly get back to Burpees about their delay in shipping what are typically dormant plants and demand some sort of replacement or credit/refund.

May isn’t necessarily late would need the location to know that. raspberries do suffer root rot easily but if your soil was well draining i doubt that was problem. 90s is tough weather to leaf out in.

Plants offered as bare root are intended to be sold and planted while they are dormant. May is well beyond the dormant period for any raspberry in North America! The longer a plant is held in bare root status beyond their typical dormant period, the more they decline in vigor and the less likely they are to emerge in good condition.....if they respond at all.

How to succeed with bare root plants.