Be mindful of tongue weights - and keep the trailer properly loaded (keep 60%+ weight forward of the axles) or you can encounter really unpleasant trailer sway. That said I tow a similar set up (track car and steel tandem axle trailer) frequently with my 5.7 - no problems. As afhanason72 says, you'll notice the transmission kick down on steep grades, but not an issue. Also be mindful of breaking distances as they will increase quite a bit. Although I don't, it's advisable to keep the speeds reasonable too. Good luck.
Hemi Club #77, BT Oil Catch Can - Expanded Sheet Metal Grill - GLT V1 Mount - Custom front shackle mounts - 2" BB - 1.5" spacers - JK Rubicon wheels - 265/70 BFG AT's - Cobra 75 CB - Hemifever Diablo Sport Tune