Any recommendations a two person backpacking tent? Preferably one during this REI sale?

I'm new to backpacking, did my first trip this year with a hammock and had a great time.

Trying to get my wife into it with me. We're planning on going to Iceland in September, no trees. Plus she sleeps cold so she'll probably be more comfortable if we're in the same tent.

I'm looking to spend as little as possible, we're really not sure this will be our thing going forward, it might just be something I do solo. And we already have a big six person tent for glamping with a big air mattress.

I'm hoping for under $200, less if possible.

But I also don't wanna buy garbage, or carry something excessively heavy.

Suggestions?

Edit: this seems popular and well liked? https://www.rei.com/product/185632/rei-co-op-half-dome-sl-2-tent-with-footprint