[. . .]
Edit: Is there an easy way to search for PSU by dimensions? I havn't found a single PSU on newegg that's cheap and with a decent wattage that will fit
For cases with a limited size PSU, the only ways normally are to either:
A) Google the PSU and hope to find the sizes.
B) Pick a brand and go to their site and look it up.
After looking up your Comp it seems to have a standard ATX size PSU in it, and appears to be able to come out the way I had to resort to in my E-machines. It was not the "right" way but it worked.
There are no "bars" of any sort blocking the way, simply a DVD drive behind it, which means go for a 5.5" deep PSU to be safe. OCZ, Seasonic both make some good ones that small.
If this one fits the same as my old E-machine, it is a small pain, but easily overcome with some wiggling.
I have gotten decent at this, after spending 3 days looking up how to replace my old E-machines PSU.