Any Issues with running without mower deck? YTH22V42

I have a rocky hard and have to be careful while cutting the lawn. I just bought 10 yards of mulch and want to pull a utility cart without worrying about every single rock in the lawn. I know I need to remove the front stabilizer so I don't back over it. Are there any other precautionary steps i should take? Thanks

No issues as long as nothing is hanging low enough to hit the ground.

No problem.
Lots of old blokes will pull the deck off a mower & use it as a mobility cart, rather than an electric wheel chair or battery scooter cause they are for "old" men & invalids .
The only adverse affect is without the deck there to protect it the belt is prone to picking up debris and jumping off.
So if it suddenly looses drive expect to stop & refit the drive belt.