An astounding difference can be made to how your bike rides just by changing the handlebar angle.
For me (1.7m tall) on an Alias (585mm reach - your Echo will be somewhere near 600mm) with a 165mm stem I set the rise roughly perpendicular to the floor.
Before spending any money, change your bar angle. On a longer bike like you have you might even want to roll them as far back as having the rise running in the same direction as the headtube. I did that on my Marino.
It won't feel like a BMX, but it'll make a big difference and cost no money.
I don't have it with me so I'd need a bit of notice, but I have my one remaining home-made frame that is almost the same geometry as the Alias. The next time I go down to my parents' place I could pick it up and you can have it for however much it costs to post to the Netherlands. The only issue is that it has no brake mounts. If you want/need brakes and know someone who could weld them on for you then you're welcome to it. It's just made from mild steel so there's no issues with heat-treatment or anything like that. You'd also need to buy an integrated headset, but they're quite cheap as they're pretty much standard in the BMX world. If you rode BMX you might already even have one, I guess.
I'd say stick with the 150mm stem and tilt the bars back.
If you're spending money, get TT high risers and do the same thing with them. (I also have an old and battered set of these that look awful but are structurally fine that you'd be perfectly welcome to, but given the size of them it would probably cost almost as much for to post them as it would to get a new set If you want the frame I can chuck the bars in the box too.)
Don't listen to Daviesdt about bunnyhops and BB heights The Alias is +65 and is a bunnyhop-machine. If your frame is +60 then there will be no issue at all with that.
You're right that I pedalled everything back then. This was mostly because I hadn't learned how to bunnyhop at that time
But yeah, it won't be as streety as an Alias, though you can get it closer than it is now.