No unfortunately there is no way to do both at the same time. People have talked about a mixed model pool before but it doesn’t exist.
I run against CK because I’m 100% confident I’ll get paid.
Here is the Dutch pools site
pool.satoshiradio.nl
And for clarity, two places to mine that will reward a full block (if hit) are:
1. CK
2. Pool.satoshiradio.nl
A lightning wallet is not needed as they do not pay out sats but blocks (again, if hit)