Charlie, one of the common complaints about the K-Line engines (to be specific: the S-2, MP-15, Alco FA and the RDC Budd Car all with truck mounted motors) is what people call "jack rabbit" starts. This is because folks were running these with postwar transformers that put a minimum 6 volts to the track. The Lionel 1033 with the B-U voltage post settting (0-11 volts to the track) will run these perfectly, as will most modern transformers that start with less than the common 6 volt minimum.
As mentioned, later production versions came with a "Parallel / Series" switch.
Otherwise, re-wiring them in series will slow them down (as Paul mentioned) but also enable you to operate postwar cars like the vibrator motor searchlight car, milk car, etc. which need more voltage to operate.
The RMT RDC and Alco S-4 would be good candidates for you too, though the prices are NOT the blowouts they once were. RMT is using a different spec motor as I have found out: The K-Line locos run great at the B-U setting of the 1033, but the RMT locos need the higher starting voltage range of A-U otherwise they can bearly pull a train.
I really like the K-Kine S-2 and do quite a few alterations to them as standard proceedure. One thing you might not like, is that there is only one light bulb in the cab, with a lucite tube going to the front headlight, so the front headlight is illuminated, but not bright by any standard. RMT changed this and added operatng marker lights and strobe light: A nice touch for a low cost engine. The RMT S-4 also has a horn, though not Railsounds, certainly adequate for starter loco quality.
Some of the later production K-Line MP-15's also came with a horn. And a few models of the K-Line Alco FA came with their own "Real Sounds:" The Golden State comes to mind.
If you like the Alco FA, keep your eyes open for the models that came with a tether wire and had motors in BOTH A units... sometimes these can be found for a nice price, especially since there's 4 motors total. NYC, UP and Santa Fe versions come to mind. These units will also have the added steps and handrails versus the cast-in ones from earlier versions.