Hi M. -
The good news is that your 22 month old is completely normal! Although her behavior can be annoying for adults, she is doing just what she is supposed to be doing! I don't know how much advice I can give you in terms of changing HER behavior, but I do know that how you look at it may change your feelings about it. If you look at what she's doing from her perspective, she's just exploring her world. She's finally physically able to investigate EVERYTHING that she's been looking at since birth and she's CURIOUS! It's this curiousity that will help her learn language, problem solving & how the world works.
It is really tough to take this perspective when you're trying to keep your house pulled together & care for a 4month old! It's a time as a parent where our patience is really tested!
Some changes that may help;
Give her places she CAN investigate. My 27 month old loves my pantry cupboard, and it's one of the places I do allow. When my older kids were small I made several pots & pans cupboards and tupperware cupboards just for them in the kitchen, and I never had to say no when they were in there (and could get a few things done myself while they were playing!) Also, a few months ago my 27 month old LOVED pulling out all the videos from the cabinet, another place I allowed.
When she gets into your personal areas/places you don't want her you can re-direct her to one of the "ok" places. Be sure to sometimes switch up the stuff that's in there & put in stuff you know she's curious about, just to keep her interest. I didn't allow my 2 yr old in my bedroom from about 15 months to 24 months, because I couldn't stand him in my drawers, just like you! If he did HAVE to come in I allowed him to play with my shoes & my husband's, for some reason this didn't drive me as crazy.
Try leaving the messes out for a couple of hours, then at least you don't have to keep cleaning up the same thing (I know it's hard, I'm a neatnik too).
Also, try showing her how to "clean-up" -- she won't be able to do this herself, but may put some things back in the cupboards if you do it w/her and make it fun.
As for time-outs, I haven't found them helpful until sometime after 2 years old. However, the experts do say that time-outs should be 1 min per each year of the child's age (I'm sure you've read this too) -- so a 1 min time out IS the right amount of time for your daughter.
Also, another game my son loves and keeps him very entertained is "sink game" another messy/crazy one, but sparks his curiousity & if I pay attention & play it with him for 20 min he often then goes off & does something independently :) !! We run the kitchen sink water on very low and I give him an apron & lots of dishes to "wash".
A Little About Me: I am a 39-year old stay-at-home mom of 4... 10yr old twins, 6 year old, 2 year old. I'm also a speech pathologist working with children in play & language development....M.