Sorry for the delay in replying but we're in the process of transferring the site over.
June is a great time to come for trout fishing. It's a difficult question to answer because times of day can vary enormously depending on weather conditions and so on - you can catch throughout the day. Warm and cloudy tends to be better than bright sun (very hot or cold) but do not let that put you off (last year I caught great fish in very cold, bright weather in early May). The good thing is in June you have a hell of a lot of daylight to play with and can fish right into the evening!
The website has details of a lot of lochs you can fish here which you can view by list
Just be aware (as you said you were taking a spinning rod), almost all of it is fly fishing only. You can fish a small stretch of Assynt with a spinner and use spinners trolling on Lochs Assynt, Cam and Veyatie from a boat.
Hope that helps. Please leave comments on the website. Thanks
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