I received an SDRplay RSP for Christmas, and have been using it with the HDSDR software. One cool thing about HDSDR is that it has two different buttons for noise reduction, "NR" and "NB". Recently a local noise source has cropped up in the evenings, and a press of one of these buttons magically makes the noise go away. You can hear the algorithm at work, slowly the noise gets reduced until it disappears completely.
My main rig has been a Drake R8B for the past 17 years. It's got a noise blanker with only two positions (narrow and wide). I've never found the wide position useful, but I usually keep the narrow position always engaged and it will reduce some local noise. The R8B can't deal with this latest noise source, but the SDRplay can.
The SDRplay has some limitations, such as overloading by nearby MW stations, or even some high powered SW broadcasters, but there are ways to deal with this so it's not an issue.
Thomas Witherspoon's review (
http://swling.com/blog/2015/07/a-review-of-the-sdrplay-rsp-software-defined-receiver/) convinced me that the SDRplay was the "best bang for the buck". The $150 price puts it in the range of a good portable, but it's performance blows away any portable at that price. I didn't think I would ever get an SDR, especially since there are fewer and fewer DX targets out there and I couldn't justify spending $1,000 on one. The SDRplay is a great intro to SDR technology for the price.
Your local noise issues may be a bit too overwhelming for any rig on it's own however. Techniques such as using a coax lead-in with RF chokes and an isolation/matching transformer at the antenna will help. Bruce Conti has a good DIY article here:
http://www.bamlog.com/diyxfmr.htm I've built several of them using the Rubbermaid baby food container and everyone that uses them swear by them.