I hope this is alright! I attempted to download the songs from GH, but the links were not working. If anyone has a download available for either of these OSTs, preferably mp3, I would appreciate it!

I got it from here:

Wild Arms 1 (http://vnsharing.net/forum/showthread.php?t=545563&langid=3#download)
Wild Arms 2 (http://vnsharing.net/forum/showthread.php?t=546364&langid=3#download)

You can get either mp3 or lossless there.