Probably so, the Elac is well thought of in general. It may be just what you need. I think I could use them and be pretty happy, personally. I have seen the Elac for sale used on here- unless you want the ability to return them.
However, they are not a 'ringer' for your tube amp, as Paraneer pointed out. (They may be fine.) I'd listen to them with a higher powered amp (50wpc or more) before committing to the tube amp purchase.
If you are in a good Craigslist area, look to see if there is anything locally for sale used. A nice seller may be willing to let you bring your speakers over for a demo. From time to time I see solid, older receivers for sale for $50-$100. Some have a phono input and remote.
May not be cutting edge, but you would be listening to music for around $300 or so.
Once you get things up and going you will start to develop some preferences and know better what you want and need.
gary