Ya, there is. Just enable the loop, and run a line out from the effects send, into your board. Keep your loop mix at 50%, and control the volume with the channel volume knob. Keep master/power-amp output to 0%. MAKE SURE you have a cab or a load soak connected to your head when you do this, for safe operation.
Barring that, you should still be able to get a good tone with your SM57. How loud are you playing? If you're finding that you're suffering from proximity effect, instead of jamming the mic into the grill, try turning your amp up and pulling the mic back a bit. The further back you go, the more the room will affect your sound. Either that, or turn down the bass on your amp to balance out the proximity effect.
Also, generally when you record, it's a good idea to run your gain a bit lower than you would whilst recording, the resultant signal ends up sounding a bit smoother & clearer than it would if you ran your gain regular. Unless you already play with relatively low gain, that is.