I think that's a good a good call to get it remixed. How much of the drum issue is the recording and how much is the mix is hard to know without hearing the raw materials. Luckily a good producer can improve them by layering great sounding sample if necessary. It's done all the time to great effect.
I had a listen to the reference track ' Tedeschi Trucks Band- Hear Me' ..nice track and well produced with a more contemporary feel. I think this would be a good track to send to your re-mixer along with one or two other similar.
Listen carefully to the drums, if you can drag them both into your DAW for direct A-B comparison. Notice how you can actually hear the kick drum very clearly in Hear Me...I can hardly hear it at all in your track. Then compare the snare. Theirs is nice and full bodied with a crisp kinda thwack to it, yours sounds like someone some way back in the distance hitting a soggy box with a stick. I'm not actually sure it's tuned properly to be honest, I'm no drummer but I've mixed plenty of them but I'd certainly be reaching for my sampled snares to beef it up if it was me.
Be interested to hear it again when you've re-worked it.
Mark
