Hhmm, I've done well with a 1978 870 TB trap gun with a new Light Contour barrel and Remchokes. Same with Number Six, same barrel. The TB had a trap stock, and a Monte Carlo comb. 6 wears its original field stock, ca 1955. The TB also had an adjustable butt pad, which was as far down as it could get and twisted a good bit to fit my shoulder pocket better. I may have shot that one better, but both were good.
For you, try them both if possible. Instead of that new Classic Trap, look around for an older letter grade trap gun and swap barrels. Friend Anapex picked up a gorgeous TC, one grade up from the TB for a song a couple years back. It had one of the overbored target barrels and shot very well. IIRC, it was $250.
Or, find a decent WM, and tweak fit at the patterning board. Acquire a 30" LC barrel and have fun.
When I shoot a pump at SC, I use LM more than anything else, but IC will work for maybe 80% of the shot opps and be close to ideal for more than 50%.
Using a pump will probably not get your name in the NSCA Hall Of Fame, but it will teach you how to shoot better and how to run a pump.
And that last is a Life Skill everyone needs to know.....