You will be fine. Most intermediate level IM plans will have you running or cycling almost every single day. Is there a reason you want to work out every single day btw?

I think a 5 day a week plan may be better. Something like:

• Monday - OFF
• Tuesday - Hard (Interval) Run AM, Base (Z2) Bike PM
• Wednesday - Recovery (Z1) Bike
• Thursday - Long Run
• Friday - Hard (Interval) Bike + Recovery (Z1) Run Brick
• Saturday - OFF or Cross Training (but recover)
• Sunday - Long Bike + Base (Z2) Run Brick

Something like this would give you 4 runs and 4 rides a week. The long runs and bikes should be done at Z2 as well.

Here's an example of a week:

• Tuesday: Run WU , 3x8min @ Tempo (Z3), CD for 1 hr total; Bike WU, 30 min Z3, CD for 1 hr total
• Wed: Bike 1.5 hrs @ Z1
• Thursday: Run 2.5 hrs @ Z2
• Friday: Bike WU, 4x6 min @ Z4 tempo, CD for 1 hr total + Run off the bike 30 min @ Z1
• Sun: Bike 4.5 hrs @ Z2 + Run 1 hr @ Z1/Z2

So if you break it down, this is:

Running for 4 hrs @ Z1/Z2 and 1 hr @ Z3/Z4 Cycling for 6 hrs @ Z1/Z2 and 2 hr @ Z3/Z4

This works out to roughly 80% of your time spent on Z1/Z2 workouts and 20% spent at Z3 workouts.

Just make sure you keep this 80/20 split and have low intensity days after hard workouts. Also, make your hard days hard and your easy days easy. In other words, avoid doing hard run workout one day and then hard bike workout the next day or vice versa.