Since you can download from that certain site, albeit at a reduced speed, your ISP may be engaging in traffic shaping rather than in outright banning of certain sites/ports/protocols. This is a more difficult situation to diagnose, but not an impossible one.
The instrument to do this is Glasnost, a Java based series of tests taking aim exactly at ISPs´ traffic shaping of BitTorrent, EMule, Gnutella, Youtube, and so on. Each test is longish (several minutes), and basically compares the speed of different services between their servers and you: if they detect large discrepancies between service data transfer rates, then they have made it at least likely that your ISP is engaging in traffic shaping.
The test comes from a Max Planck Institute for Software Systems, which, judging from this Web page, is a fully legitimate Institute of the highly prestigious German Max Planck Society. So, while activating Java is always a security risk, you are not risking much from these guys. But pls do remember to de-activate Java as soon as you are done, for your own safety, and especially if you are on Windows.
Have you tested the site from other computers using different ISPs? It could be that the radio site is overloaded and is serving everyone slowly. – Sir Adelaide – 2016-12-16T02:06:13.453
1@moonman239 I have restored the question to its original form. The info you deleted, that streams run fine when connected to different ISP,s is not irrelevant at all: it is very important. It also is the question to which most of us have provided an answer. Please do take these elements in consideration when changing a question. – MariusMatutiae – 2016-12-18T05:20:04.520
@MariusMatutiae "The info you deleted, that streams run fine when connected to different ISP,s is not irrelevant at all: it is very important." Please explain. To me, it sounds like "It works everywhere else". Well, OK, and it's good to know the problem isn't necessarily the server, its your connection to it. The question asks how to test the connection, and that is the question I want the focus to be on. – moonman239 – 2016-12-19T20:34:43.813
@moonman239 The fact that a stream runs at different speeds, depending on the ISP, may mean that one ISP is engaging in traffic shaping (i.e., giving priority to some kind of traffic at the expense of other kinds), while some other ISPs do not, thus allowing the full use of the connection badwidth. – MariusMatutiae – 2016-12-19T22:44:24.957
@moonman239 It also means all configurations are Ok, there is nothing to touch in the pc in question, and the problem must be identified elsewhere, possibly even upstream of the LAN the pc finds itself in. – MariusMatutiae – 2016-12-19T22:57:48.227