If it's an RTTY contest, I'd urge you to use RTTY. I've done lots of them, and I don't bother to listen to the PSK31 "watering holes" (14.070, etc). And I've never heard PSK31 signals in the general RTTY portions of the bands.
PS -- If you can do PSK31, it's just a change of software to run RTTY/AFSK. Nothing to be afraid of.
I'll add to this that even though the hardware interfacing is the same and some software will do both PSK31 and RTTY, the main difference to be aware of is the power levels and duty cycle on the transmitter. RTTY customarily uses full power although there are those hearty adventureous type who like to try it as QRP. Also the duty cycle can be high, well above 50% in some extreme cases. Contesting is one area where if you are running a frequency, the duty cycle can get a transmitter HOT in a short while. However typically ragchewing will be lower duty cycle and adding an extra muffin fan to draw cooling air into and hot air out of the finals will help alleviate the heat build up, if it gets to that point. Using an amplifier brings a whole new dimension to the equation. The amp needs to be able to handle the extra duty cycle/power levels too.
Still all in all, like Charles said, nothing to be afraid of and RTTY is a really fun mode once you get the hang of it. The sing-song sounds of the RTTY signal are quite melodious and soothing to the ear .... at least in my opinion.
73 Gene W5DQ