I'm not going to beat around the bush here.
With all due respect, I personally think the Lintons are going to be too much for the blue sound, its a lovely device but it has its limits. Make no mistake the Lintons are going to reveal its shortcomings. The Linton's wouldn't be out of place with 2-3k of amplification on the end of them. I wouldn't be looking to spend any more than around £$3-400 on speakers with the blue sound and I think that's pushing it, my happy place would be 2-300.
That little amp inside that all in one isn't going to be half the overall cost of that unit, probably more like a quarter and I think that's being generous. If you were to rip that amp out and shove it in its own case and sell it, it would be very much on the budget end maybe 150-200 quid. So treat it as such and you'll much happier with the overall experience and won't be looking to upgrade in 6 months.
SAVE THE MONEY
I'd be looking at the budget end, with easy to drive brands ( 8ohm 87db+) such as Q Acoustics, Klipsch RP 500/600, monitor audio, kef q series and the like. As mentioned above find something that matches/energizes the room in the right way and that takes a home demo so you can try them out and dealer willing / a place with good returns policy. Don't underestimate budget speakers they are perfectly capable when driven right. Also don't make the mistake in thinking spending more will buy you more, been there done that and I can tell you, it doesn't, especially if the equipment can't support the speakers. Its why people are always chasing their tails.
As I mentioned this week in another thread everything is a balance in hifi don't spend too much on any one thing keep the scales balanced.
Dont take that the wrong way im just trying to save you money.
BUT, if you have a plan and the blue sound is just a stop-gap to something bigger, better and bolder then buy the best speakers you can afford. But! only if you plan to buy somthing in the future eg 6 months to a year from now.