A bigger carb is not the issue. You need to adjust your jetting. You may have to re-ring or even install a new piston in this motor. 90-100 pounds of compression is too low for a 350.
With 2 strokes jetting is the key to long life. You could put a holley 4 barrel on the engine and it wouldn't make a difference as to how it runs if it isn't jetted correctly.
Take a look at this article in order to get a better grip on jetting.
http://www.yellowdogracing.com/techstuff.htm]
This book is fantastic and even though its old most of the information is still very valid!
http://g2buggy.g2-innovations.com/gentech/manuals/2stroketunershandbook.pdfUnfortunately I have to say I think a rebuild is in your near future.
Before you tear it down do a leak down test on it to see if you had air leaking into the engine causing the lean condition.