Actually I am amazed to hear (Or rather read) my self say this but I don't think you should go for an DSLR.
A: They are heavy,and cumbersome for video
B: There audio sucks and yes most do have a mic input but the audio is so compressed that it's not very usable for high quality productions.
C: These are comedy sketches, not cinematic dramas or something, you don't NEED really shallow depth of field, really low light sensitivity, or the mass of lenes
D: You need someone who knows what they are doing to operate a camera like that, if you get a canon vixia or something you can just set it on a tripod and press record. Comedy is about content and the acting, you just need a means to capture that in the best way possible, ESPECIALLY AUDIO. There have been studies done on this, two groups of people each watched a different movie, one had HORRIBLE filming (Really grainy images, shaky camera, poorly whitebalenced, etc) the other had bad audio. Most of the people in the group who watched the movie with the bad audio walked out. The people with it shot horrible when they were asked about the movie thought it was stylized or didn't notice it or didn't care.
E: Despite there cheap costs (You can get a T2i for around 750) there is a ton of other equipment you should get because your getting a camera all for it's gorgeous images so you should spend a bunch to be able to take advantage of that. On my DSLR setup I have spent over 4000 dollars on everything not counting the camera, for lens, shoulder mount, mic and external field recorder, tripod, Z-Finder, etc. And that's not even that much.
IMHO you should spend your money on mics and then get a camera that has pretty good images this would be good
http://www.bhphotovideo.com/c/product/671660-REG/Canon_3569B001_VIXIA_HF_S100_Flash.html right now you can get it for something like 750 which is a steal, I have an older version of this camera and I use it when I just want to shoot something funny with my friends cause the DSLR takes forever to setup. And it takes great sharp shoots, sure it doesn't look beautiful like the DSLR does.
If you get bogged down with the shooting you are probably not going to get as good performance if this is your 44th take cause you keep getting rolling shutter in your shots when you move it around or it turns out that no one can follow focus on you 85mm 1.2 lens (Not that you would actually have that lens haha, it's something like 1,500 dollars) but my point is every shot will take a lot of setup, and someone who really knows how to operate the camera