Interesting trade off. We have some trees that we need to trim for safety reasons, as they are up hill from the house and would be a hazard to the house if they fell or dropped limbs. I have found that trimming gets to be a rapidly repeating cycle. Bigger, older trees grow faster, unless they are dying. 6-7 trims would pay for the removal of the whole tree, but we like shade and the being close to nature feel. I also think they have a significant cooling effect in the summer, not just due to shade but also due to air cooling from transpiration.
If it were me, I would consider adding panels to make up the difference, as it is a one time investment rather than a recurring and escalating expense. Fringe benefit your home stays cooler in the summer.
Just my $0.02.
All the best,
BG