Similar to the clean sound of a Fender ?… I’ve seen people being able to get that sound with a Gibson..
Haha…I have the opposite problem! I played a Gibson my entire life, now I play an Ibanez and want the fat tone of the Gibson!!
To get the "punchy" sound as you have described above, try using a compressor/sustainer pedal. Compression, when used properly, totally creates a PUNCHY sound.
Also, you might want to add some chorus to the compressor.
Also, you might want to play around with which pick-up you are using. The pick-up closest to the bridge will create a fat tone—great for rhythm guitar and jazz sounds, etc. The bridge pick-up gives you a brighter sound. Try playing around with your pick-up selection and the tone on your amp.
If you want to go totally electronic for the sound, rather than dealing with your guitar and some stomp boxes and your amp (I suggest using the guitar/amp/and some stomp boxes myself), you could look into buying a Line 6 POD, which is a guitar and amp modeling unit. Have you heard of that? The POD has virtually every sound that you could want. I don’t have one myself because it’s just not my style, but a friend of mine has one and uses it on all of his recordings. Also, many professional studios use the LINE 6 POD units (both rack-mount and the tiny POD itself) to create classic guitar and amp sounds.
I would suggest you try my first recommendations: the compressor / sustainer and chorus pedal, and play around with your amp settings.
By the way…what amp are you using? That info would help.